Details

analyze189.0ms (1.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
25%	25%	74.9%	0.1%	0%	0%	0%	4
50%	50%	50%	0.1%	0%	0%	0%	5
50%	50%	50%	0.1%	0%	0%	0%	6
50%	50%	50%	0.1%	0%	0%	0%	7
50%	50%	50%	0.1%	0%	0%	0%	8
50%	50%	50%	0.1%	0%	0%	0%	9
50%	50%	50%	0.1%	0%	0%	0%	10
50%	50%	50%	0.1%	0%	0%	0%	11
50%	50%	50%	0.1%	0%	0%	0%	12

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample11.3s (65.6%)

Results

9.0s	7994×	body	8192	exit
1.2s	2016×	body	1024	valid
684.0ms	5058×	body	256	valid
289.0ms	993×	body	512	valid
139.0ms	189×	body	2048	valid

Bogosity

preprocess15.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

2×	`swap-a-b`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	38
1	11	38
0	2	2
1	2	2

Stop Event

1×	unsound
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1
0

Call 2

Inputs
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))

Outputs
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Symmetry

(sort a b)

Compiler

Compiled 10 to 8 computations (20% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	10	19

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

Inputs
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Outputs
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

eval0.0ms (0%)

Compiler: Compiled 8 to 6 computations (25% saved)

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

27.7b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	27.7b	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 8 to 6 computations (25% saved)

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
✓	4.6b	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 19 to 6 computations (68.4% saved)

series67.0ms (0.4%)

Counts

2 → 16

Calls

12 calls:

Time	Variable		Point	Expression
23.0ms	a	@	inf	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
19.0ms	a	@	-inf	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
11.0ms	b	@	-inf	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
11.0ms	b	@	inf	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms	a	@	0	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite70.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1808×	`add-sqr-sqrt`
1792×	`*-un-lft-identity`
1664×	`add-cube-cbrt`
1644×	`add-cbrt-cube`
184×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	34
1	177	34
2	2227	34

Stop Event

1×	node limit

Counts

2 → 58

Calls

Call 1

Inputs
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(+.f64 (exp.f64 a) (exp.f64 b))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (log.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))) (log.f64 (-.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2) (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (exp.f64 a) 2) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (exp.f64 a) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)) (/.f64 1 (-.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 a) 2) (.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))) (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)) (-.f64 (exp.f64 a) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (+.f64 (pow.f64 (exp.f64 a) 2) (.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (+.f64 (pow.f64 (exp.f64 b) 2) (-.f64 (pow.f64 (exp.f64 a) 2) (exp.f64 (+.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (exp.f64 a) 2)) (-.f64 (exp.f64 b) (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (neg.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2)) (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 a) (exp.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 b) (exp.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) (exp.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)) (exp.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (cbrt.f64 (exp.f64 a)) (exp.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 b)) 2) (cbrt.f64 (exp.f64 b)) (exp.f64 a))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (log.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))) (log.f64 (-.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2) (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (exp.f64 a) 2) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (exp.f64 a) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)) (/.f64 1 (-.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))) (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)) (-.f64 (exp.f64 a) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (+.f64 (pow.f64 (exp.f64 b) 2) (-.f64 (pow.f64 (exp.f64 a) 2) (exp.f64 (+.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (exp.f64 a) 2)) (-.f64 (exp.f64 b) (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (neg.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2)) (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 a) (exp.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 b) (exp.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) (exp.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)) (exp.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (cbrt.f64 (exp.f64 a)) (exp.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 b)) 2) (cbrt.f64 (exp.f64 b)) (exp.f64 a))))))

simplify74.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1090×	`fma-def`
1004×	`unswap-sqr`
902×	`distribute-lft-in`
844×	`distribute-rgt-in`
516×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	200	2618
1	499	2362
2	1982	2350
3	7711	2350

Stop Event

1×	node limit

Counts

74 → 115

Calls

Call 1

Inputs
(log.f64 (+.f64 1 (exp.f64 b)))
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (log.f64 (+.f64 1 (exp.f64 b))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (log.f64 (+.f64 1 (exp.f64 b)))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (+.f64 (log.f64 (+.f64 1 (exp.f64 b))) (.f64 1/6 (.f64 (pow.f64 a 3) (-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 1 (+.f64 1 (exp.f64 b)))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))))))
(log.f64 (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (.f64 1/2 (.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 b 3) (-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (.f64 1/2 (.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (/.f64 b (+.f64 1 (exp.f64 a))))))
(+.f64 1 (exp.f64 b))
(+.f64 1 (+.f64 a (exp.f64 b)))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 a (exp.f64 b))))
(+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 a (+.f64 (.f64 1/6 (pow.f64 a 3)) (exp.f64 b)))))
(+.f64 1 (exp.f64 a))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 (.f64 1/6 (pow.f64 b 3)) (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (pow.f64 b 2))))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(+.f64 0 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(-.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (log.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))) (log.f64 (-.f64 (exp.f64 a) (exp.f64 b))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 1)
(*.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1)
(*.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2) (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(exp.f64 (log.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1))
(log1p.f64 (-.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1)
(-.f64 (/.f64 (pow.f64 (exp.f64 a) 2) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1)
(*.f64 1 (+.f64 (exp.f64 a) (exp.f64 b)))
(*.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)) (/.f64 1 (-.f64 (exp.f64 a) (exp.f64 b))))
(.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 a) 2) (.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))
(/.f64 1 (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))) (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (+.f64 (pow.f64 (exp.f64 b) 2) (-.f64 (pow.f64 (exp.f64 a) 2) (exp.f64 (+.f64 a b)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (exp.f64 a) 2)) (-.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (neg.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))
(pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1)
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)
(pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3)
(pow.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3) 1/3)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2)) (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(pow.f64 (exp.f64 1) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(sqrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 2))
(log.f64 (exp.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3))
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(exp.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(log1p.f64 (expm1.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(fma.f64 1 (exp.f64 a) (exp.f64 b))
(fma.f64 1 (exp.f64 b) (exp.f64 a))
(fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) (exp.f64 b))
(fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)) (exp.f64 a))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (cbrt.f64 (exp.f64 a)) (exp.f64 b))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 b)) 2) (cbrt.f64 (exp.f64 b)) (exp.f64 a))

Outputs
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (log.f64 (+.f64 1 (exp.f64 b))))
(+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (log.f64 (+.f64 1 (exp.f64 b)))))
(fma.f64 1/2 (.f64 (.f64 a a) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b)))))
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(/.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))))
(.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 a) 2) (.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 (+.f64 a a))))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (+.f64 (pow.f64 (exp.f64 b) 2) (-.f64 (pow.f64 (exp.f64 a) 2) (exp.f64 (+.f64 a b)))))
(.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 a) 2) (.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 (+.f64 a a))))
(/.f64 (-.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (exp.f64 a) 2)) (-.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (exp.f64 b) 2)) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (-.f64 (pow.f64 (exp.f64 b) 2) (exp.f64 (+.f64 a a))) (-.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (exp.f64 b) 2)) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (-.f64 (pow.f64 (exp.f64 b) 2) (exp.f64 (+.f64 a a))) (-.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (neg.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))
(.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 a) 2) (.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 (+.f64 a a))))
(pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1)
(+.f64 (exp.f64 b) (exp.f64 a))
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)
(+.f64 (exp.f64 b) (exp.f64 a))
(pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3)
(+.f64 (exp.f64 b) (exp.f64 a))
(pow.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3) 1/3)
(+.f64 (exp.f64 b) (exp.f64 a))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2)) (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(+.f64 (exp.f64 b) (exp.f64 a))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(+.f64 (exp.f64 b) (exp.f64 a))
(pow.f64 (exp.f64 1) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(+.f64 (exp.f64 b) (exp.f64 a))
(sqrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 2))
(+.f64 (exp.f64 b) (exp.f64 a))
(log.f64 (exp.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(+.f64 (exp.f64 b) (exp.f64 a))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(+.f64 (exp.f64 b) (exp.f64 a))
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3))
(+.f64 (exp.f64 b) (exp.f64 a))
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(+.f64 (exp.f64 b) (exp.f64 a))
(exp.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(+.f64 (exp.f64 b) (exp.f64 a))
(log1p.f64 (expm1.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(+.f64 (exp.f64 b) (exp.f64 a))
(fma.f64 1 (exp.f64 a) (exp.f64 b))
(+.f64 (exp.f64 b) (exp.f64 a))
(fma.f64 1 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))
(fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) (exp.f64 b))
(+.f64 (exp.f64 b) (exp.f64 a))
(fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (cbrt.f64 (exp.f64 a)) (exp.f64 b))
(+.f64 (exp.f64 b) (exp.f64 a))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 b)) 2) (cbrt.f64 (exp.f64 b)) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))

eval35.0ms (0.2%)

Compiler: Compiled 1984 to 1041 computations (47.5% saved)

prune23.0ms (0.1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	106	9	115
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	107	9	116

Error

0.8b

Counts

116 → 9

Alt Table

Click to see full alt table

Status	Error	Program
	1.7b	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
	29.1b	(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
▶	1.3b	(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
	30.1b	(log1p.f64 (exp.f64 b))
▶	29.4b	(log1p.f64 (exp.f64 a))
▶	29.2b	(log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3))
	28.8b	(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
▶	28.7b	(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b))))))
▶	30.1b	(log.f64 (+.f64 1 (exp.f64 b)))

Compiler

Compiled 182 to 132 computations (27.5% saved)

localize8.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.0b	(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))

Compiler

Compiled 19 to 6 computations (68.4% saved)

series40.0ms (0.2%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
17.0ms	a	@	-inf	(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
9.0ms	b	@	-inf	(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
7.0ms	a	@	inf	(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
7.0ms	b	@	inf	(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
0.0ms	a	@	0	(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))

rewrite53.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1838×	`add-sqr-sqrt`
1822×	`*-un-lft-identity`
1694×	`add-cube-cbrt`
1674×	`add-cbrt-cube`
184×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	180	19
2	2264	19

Stop Event

1×	node limit

Counts

1 → 16

Calls

Call 1

Inputs
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) 2) (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (+.f64 1 (exp.f64 a)) (expm1.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) 1))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) 2) (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (+.f64 1 (exp.f64 a)) (expm1.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) 1))))))

simplify56.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1308×	`associate-+r+`
1220×	`associate-+l+`
1194×	`associate-r`
996×	`associate-*r/`
946×	`associate-l`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	91	1256
1	231	1252
2	889	1240
3	4092	1228

Stop Event

1×	node limit

Counts

40 → 46

Calls

Call 1

Inputs
(log.f64 (+.f64 1 (exp.f64 b)))
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (log.f64 (+.f64 1 (exp.f64 b))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (log.f64 (+.f64 1 (exp.f64 b)))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (+.f64 (log.f64 (+.f64 1 (exp.f64 b))) (.f64 1/6 (.f64 (pow.f64 a 3) (-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 1 (+.f64 1 (exp.f64 b)))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))))))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (.f64 1/2 (.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 b 3) (-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (.f64 1/2 (.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (/.f64 b (+.f64 1 (exp.f64 a))))))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))))) 1)
(*.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))) 1)
(*.f64 1 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))))
(*.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))))
(*.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) 2) (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))))
(pow.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) 3)
(pow.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))) 2))
(log.f64 (+.f64 (+.f64 1 (exp.f64 a)) (expm1.f64 b)))
(cbrt.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))))
(exp.f64 (log.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) 1))

Outputs
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (log.f64 (+.f64 1 (exp.f64 b))))
(+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (log.f64 (+.f64 1 (exp.f64 b)))))
(fma.f64 1/2 (.f64 (.f64 a a) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b)))))
(+.f64 (log1p.f64 (exp.f64 b)) (fma.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (.f64 a (.f64 a 1/2)) (/.f64 a (+.f64 1 (exp.f64 b)))))
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (fma.f64 (*.f64 a a) (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (log1p.f64 (exp.f64 b))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (+.f64 (log.f64 (+.f64 1 (exp.f64 b))) (.f64 1/6 (.f64 (pow.f64 a 3) (-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 1 (+.f64 1 (exp.f64 b)))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))))))
(fma.f64 1/2 (.f64 (.f64 a a) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (+.f64 (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b)))) (.f64 (.f64 1/6 (pow.f64 a 3)) (-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 3 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))))
(+.f64 (fma.f64 1/6 (.f64 (pow.f64 a 3) (+.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 -3 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (log1p.f64 (exp.f64 b))) (fma.f64 1/2 (.f64 (*.f64 a a) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (/.f64 a (+.f64 1 (exp.f64 b)))))
(+.f64 (fma.f64 1/2 (.f64 (.f64 a a) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (log1p.f64 (exp.f64 b))) (fma.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (/.f64 -3 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (*.f64 1/6 (pow.f64 a 3)) (/.f64 a (+.f64 1 (exp.f64 b)))))
(+.f64 (fma.f64 1/6 (.f64 (pow.f64 a 3) (+.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 -3 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (log1p.f64 (exp.f64 b))) (fma.f64 (.f64 a a) (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (/.f64 a (+.f64 1 (exp.f64 b)))))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (.f64 1/2 (.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 1/2 (.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (.f64 b b)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 1/2 (.f64 b (.f64 b (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 (*.f64 b b) (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 a))) (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(fma.f64 (*.f64 b b) (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 a))) (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 b 3) (-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (.f64 1/2 (.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (/.f64 b (+.f64 1 (exp.f64 a))))))
(fma.f64 1/6 (.f64 (pow.f64 b 3) (-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (/.f64 3 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 1/2 (.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 b b)) (/.f64 b (+.f64 1 (exp.f64 a))))))
(+.f64 (fma.f64 1/2 (.f64 b (.f64 b (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (/.f64 b (+.f64 1 (exp.f64 a)))) (fma.f64 (*.f64 1/6 (pow.f64 b 3)) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (/.f64 -3 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (log1p.f64 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (/.f64 -3 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (.f64 1/6 (pow.f64 b 3)) (fma.f64 (.f64 b b) (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 a))) (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 b (+.f64 1 (exp.f64 a))))))
(+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 1/6 (.f64 (pow.f64 b 3) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (/.f64 -3 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (fma.f64 (.f64 b b) (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 a))) (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 b (+.f64 1 (exp.f64 a))))))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))))) 1)
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(*.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))) 1)
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(*.f64 1 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(*.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(*.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) 2))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) 2) (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(pow.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))) 1)
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(pow.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) 2)
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) 3)
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(pow.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))) 3) 1/3)
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(sqrt.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))) 2))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(log.f64 (+.f64 (+.f64 1 (exp.f64 a)) (expm1.f64 b)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(cbrt.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))) 3))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(expm1.f64 (log1p.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(exp.f64 (log.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) 1))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f64 (exp.f64 a))

Compiler

Compiled 8 to 4 computations (50% saved)

series42.0ms (0.2%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
25.0ms	a	@	inf	(log1p.f64 (exp.f64 a))
17.0ms	a	@	-inf	(log1p.f64 (exp.f64 a))
0.0ms	a	@	0	(log1p.f64 (exp.f64 a))

rewrite49.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1072×	`associate-r`
840×	`add-sqr-sqrt`
830×	`*-un-lft-identity`
784×	`pow1`
766×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	9
1	95	9
2	1063	9

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

Inputs
(log1p.f64 (exp.f64 a))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (log1p.f64 (exp.f64 a)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (exp.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2) (cbrt.f64 (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))))) (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (cbrt.f64 (log1p.f64 (exp.f64 a)))) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2))) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))))) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (exp.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (exp.f64 a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (exp.f64 a))))))))

simplify62.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1278×	`associate-r`
1112×	`associate-l`
820×	`associate-+l+`
798×	`associate-+r+`
786×	`log-prod`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	78	540
1	175	536
2	593	532
3	3656	502
4	6957	502

Stop Event

1×	node limit

Counts

36 → 45

Calls

Call 1

Inputs
(log.f64 2)
(+.f64 (*.f64 1/2 a) (log.f64 2))
(+.f64 (.f64 1/2 a) (+.f64 (log.f64 2) (.f64 1/8 (pow.f64 a 2))))
(+.f64 (.f64 1/2 a) (+.f64 (log.f64 2) (+.f64 (.f64 -1/192 (pow.f64 a 4)) (*.f64 1/8 (pow.f64 a 2)))))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(-.f64 (+.f64 (log1p.f64 (exp.f64 a)) 1) 1)
(*.f64 (log1p.f64 (exp.f64 a)) 1)
(*.f64 1 (log1p.f64 (exp.f64 a)))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (log1p.f64 (exp.f64 a))))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2) (cbrt.f64 (log1p.f64 (exp.f64 a))))
(.f64 (.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))))) (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 a)))))
(.f64 (.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (cbrt.f64 (log1p.f64 (exp.f64 a)))) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 a)))))
(.f64 (.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2))) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))
(.f64 (.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)))
(.f64 (.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))))) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 a)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))
(pow.f64 (log1p.f64 (exp.f64 a)) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 3)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2))
(log.f64 (+.f64 (exp.f64 a) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 a))))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 a))))

Outputs
(log.f64 2)
(+.f64 (*.f64 1/2 a) (log.f64 2))
(fma.f64 1/2 a (log.f64 2))
(+.f64 (.f64 1/2 a) (+.f64 (log.f64 2) (.f64 1/8 (pow.f64 a 2))))
(+.f64 (fma.f64 1/2 a (log.f64 2)) (.f64 1/8 (.f64 a a)))
(fma.f64 1/2 a (fma.f64 1/8 (*.f64 a a) (log.f64 2)))
(fma.f64 1/2 a (fma.f64 a (*.f64 a 1/8) (log.f64 2)))
(+.f64 (.f64 1/2 a) (+.f64 (log.f64 2) (+.f64 (.f64 -1/192 (pow.f64 a 4)) (*.f64 1/8 (pow.f64 a 2)))))
(+.f64 (fma.f64 1/2 a (log.f64 2)) (fma.f64 -1/192 (pow.f64 a 4) (.f64 1/8 (.f64 a a))))
(+.f64 (fma.f64 1/2 a (log.f64 2)) (fma.f64 1/8 (.f64 a a) (.f64 -1/192 (pow.f64 a 4))))
(fma.f64 1/2 a (fma.f64 a (*.f64 a 1/8) (fma.f64 -1/192 (pow.f64 a 4) (log.f64 2))))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(-.f64 (+.f64 (log1p.f64 (exp.f64 a)) 1) 1)
(log1p.f64 (exp.f64 a))
(*.f64 (log1p.f64 (exp.f64 a)) 1)
(log1p.f64 (exp.f64 a))
(*.f64 1 (log1p.f64 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (log1p.f64 (exp.f64 a))))
(log1p.f64 (exp.f64 a))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2))
(log1p.f64 (exp.f64 a))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2) (cbrt.f64 (log1p.f64 (exp.f64 a))))
(log1p.f64 (exp.f64 a))
(.f64 (.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))))) (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 a)))))
(log1p.f64 (exp.f64 a))
(.f64 (.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (cbrt.f64 (log1p.f64 (exp.f64 a)))) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 a)))))
(.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) (.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))))))
(.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 5/2) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 a)))))
(.f64 (.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2))) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))
(log1p.f64 (exp.f64 a))
(.f64 (.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)))
(log1p.f64 (exp.f64 a))
(.f64 (.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)))
(log1p.f64 (exp.f64 a))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))
(log1p.f64 (exp.f64 a))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))
(log1p.f64 (exp.f64 a))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))))) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 a)))))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2) (.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 a)))) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))))))
(.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 a)))) (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)) (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)) 4))
(pow.f64 (log1p.f64 (exp.f64 a)) 1)
(log1p.f64 (exp.f64 a))
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) 2)
(log1p.f64 (exp.f64 a))
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 3)
(log1p.f64 (exp.f64 a))
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) 1/3)
(log1p.f64 (exp.f64 a))
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 (exp.f64 a) 1))
(log1p.f64 (exp.f64 a))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3))
(log1p.f64 (exp.f64 a))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 a))))
(log1p.f64 (exp.f64 a))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 a))))
(log1p.f64 (exp.f64 a))

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (exp.f64 b))
✓	1.0b	(log.f64 (+.f64 1 (exp.f64 b)))

Compiler

Compiled 15 to 9 computations (40% saved)

series28.0ms (0.2%)

Counts

2 → 8

Calls

6 calls:

Time	Variable		Point	Expression
14.0ms	b	@	inf	(log.f64 (+.f64 1 (exp.f64 b)))
12.0ms	b	@	-inf	(log.f64 (+.f64 1 (exp.f64 b)))
0.0ms	b	@	0	(log.f64 (+.f64 1 (exp.f64 b)))
0.0ms	b	@	0	(+.f64 1 (exp.f64 b))
0.0ms	b	@	inf	(+.f64 1 (exp.f64 b))

rewrite58.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1434×	`add-sqr-sqrt`
1418×	`*-un-lft-identity`
1318×	`add-cube-cbrt`
1304×	`add-cbrt-cube`
1290×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	153	20
2	1770	20

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

Inputs
(log.f64 (+.f64 1 (exp.f64 b)))
(+.f64 1 (exp.f64 b))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2)) (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b)))) (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3))) (log.f64 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2))) (log.f64 (-.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (sqrt.f64 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (cbrt.f64 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (exp.f64 b))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 1 (exp.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (exp.f64 b))) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b))) (hypot.f64 1 (sqrt.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2) (cbrt.f64 (+.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (/.f64 1 (-.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (exp.f64 b)) (-.f64 1 (pow.f64 (exp.f64 b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b))) (+.f64 1 (pow.f64 (exp.f64 b) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (-.f64 1 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (+.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 b) 2) 1) (expm1.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2))) (neg.f64 (-.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3))) (neg.f64 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log1p.f64 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 b)))) (sqrt.f64 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 b)) 2) (cbrt.f64 (exp.f64 b)) 1)))))

simplify60.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1374×	`times-frac`
1146×	`associate-/l*`
738×	`associate-+r+`
660×	`associate-+l+`
648×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	141	1286
1	322	1180
2	1168	1000
3	3683	976

Stop Event

1×	node limit

Counts

62 → 91

Calls

Call 1

Inputs
(log.f64 2)
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 1/8 (pow.f64 b 2)) (log.f64 2)))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 1/8 (pow.f64 b 2)) (+.f64 (log.f64 2) (*.f64 -1/192 (pow.f64 b 4)))))
2
(+.f64 2 b)
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 (.f64 1/6 (pow.f64 b 3)) (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2)))))
(+.f64 0 (log1p.f64 (exp.f64 b)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2)) (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 b)))))
(+.f64 (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b)))) (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b)))))
(-.f64 (log.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3))) (log.f64 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b)))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2))) (log.f64 (-.f64 1 (exp.f64 b))))
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 1)
(*.f64 1 (log1p.f64 (exp.f64 b)))
(*.f64 (log1p.f64 (exp.f64 b)) 1)
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (sqrt.f64 (log1p.f64 (exp.f64 b))))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (cbrt.f64 (log1p.f64 (exp.f64 b))))
(pow.f64 (log1p.f64 (exp.f64 b)) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 3)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 b))))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 b))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 b))) 1))
(log1p.f64 (exp.f64 b))
(-.f64 (+.f64 1 (+.f64 1 (exp.f64 b))) 1)
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 b))) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))
(*.f64 1 (+.f64 1 (exp.f64 b)))
(*.f64 (+.f64 1 (exp.f64 b)) 1)
(*.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b))) (hypot.f64 1 (sqrt.f64 (exp.f64 b))))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2) (cbrt.f64 (+.f64 1 (exp.f64 b))))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (/.f64 1 (-.f64 1 (exp.f64 b))))
(.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 1 (.f64 (exp.f64 b) (expm1.f64 b)))))
(/.f64 1 (/.f64 (-.f64 1 (exp.f64 b)) (-.f64 1 (pow.f64 (exp.f64 b) 2))))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b))) (+.f64 1 (pow.f64 (exp.f64 b) 3))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (-.f64 1 (exp.f64 b)))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (+.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))
(/.f64 (-.f64 (pow.f64 (exp.f64 b) 2) 1) (expm1.f64 b))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2))) (neg.f64 (-.f64 1 (exp.f64 b))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3))) (neg.f64 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b)))))
(pow.f64 (+.f64 1 (exp.f64 b)) 1)
(pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b))) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3) 1/3)
(pow.f64 (E.f64) (log1p.f64 (exp.f64 b)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 b))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 b)))) (sqrt.f64 (log1p.f64 (exp.f64 b))))
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2))
(log.f64 (exp.f64 (+.f64 1 (exp.f64 b))))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 b))))
(exp.f64 (log1p.f64 (exp.f64 b)))
(log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 b))))
(fma.f64 1 (exp.f64 b) 1)
(fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 b)) 2) (cbrt.f64 (exp.f64 b)) 1)

Outputs
(log.f64 2)
(+.f64 (*.f64 1/2 b) (log.f64 2))
(fma.f64 1/2 b (log.f64 2))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 1/8 (pow.f64 b 2)) (log.f64 2)))
(fma.f64 1/2 b (fma.f64 1/8 (*.f64 b b) (log.f64 2)))
(fma.f64 1/2 b (fma.f64 b (*.f64 b 1/8) (log.f64 2)))
(fma.f64 b (*.f64 b 1/8) (fma.f64 1/2 b (log.f64 2)))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 1/8 (pow.f64 b 2)) (+.f64 (log.f64 2) (*.f64 -1/192 (pow.f64 b 4)))))
(fma.f64 1/2 b (+.f64 (fma.f64 1/8 (.f64 b b) (log.f64 2)) (.f64 -1/192 (pow.f64 b 4))))
(fma.f64 1/2 b (fma.f64 1/8 (*.f64 b b) (fma.f64 -1/192 (pow.f64 b 4) (log.f64 2))))
(fma.f64 1/2 b (fma.f64 b (*.f64 b 1/8) (fma.f64 -1/192 (pow.f64 b 4) (log.f64 2))))
2
(+.f64 2 b)
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 (+.f64 2 b) (.f64 1/2 (.f64 b b)))
(+.f64 2 (fma.f64 1/2 (*.f64 b b) b))
(+.f64 (.f64 1/6 (pow.f64 b 3)) (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2)))))
(fma.f64 1/6 (pow.f64 b 3) (+.f64 (+.f64 2 b) (.f64 1/2 (.f64 b b))))
(+.f64 (fma.f64 1/2 (*.f64 b b) b) (fma.f64 1/6 (pow.f64 b 3) 2))
(+.f64 2 (fma.f64 1/6 (pow.f64 b 3) (fma.f64 1/2 (*.f64 b b) b)))
(+.f64 0 (log1p.f64 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2)) (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 b)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 (exp.f64 b) 1)))) (log.f64 (cbrt.f64 (+.f64 (exp.f64 b) 1))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 (exp.f64 b) 1))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 2 (expm1.f64 b)))))
(+.f64 (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b)))) (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b)))))
(*.f64 2 (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b)))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) 1))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 2 (expm1.f64 b)))))
(-.f64 (log.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3))) (log.f64 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b)))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 b) 3)) (log1p.f64 (*.f64 (exp.f64 b) (expm1.f64 b))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2))) (log.f64 (-.f64 1 (exp.f64 b))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 b) 2))) (log1p.f64 (neg.f64 (exp.f64 b))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 b) 2))) (log.f64 (neg.f64 (expm1.f64 b))))
(-.f64 (log.f64 (neg.f64 (expm1.f64 (+.f64 b b)))) (log.f64 (neg.f64 (expm1.f64 b))))
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 1)
(log1p.f64 (exp.f64 b))
(*.f64 1 (log1p.f64 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(*.f64 (log1p.f64 (exp.f64 b)) 1)
(log1p.f64 (exp.f64 b))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (sqrt.f64 (log1p.f64 (exp.f64 b))))
(log1p.f64 (exp.f64 b))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))
(log1p.f64 (exp.f64 b))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (cbrt.f64 (log1p.f64 (exp.f64 b))))
(log1p.f64 (exp.f64 b))
(pow.f64 (log1p.f64 (exp.f64 b)) 1)
(log1p.f64 (exp.f64 b))
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) 2)
(log1p.f64 (exp.f64 b))
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 3)
(log1p.f64 (exp.f64 b))
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3) 1/3)
(log1p.f64 (exp.f64 b))
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2))
(log1p.f64 (exp.f64 b))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3))
(log1p.f64 (exp.f64 b))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 b))))
(log1p.f64 (exp.f64 b))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 b))))
(log1p.f64 (exp.f64 b))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 b))) 1))
(log1p.f64 (exp.f64 b))
(log1p.f64 (exp.f64 b))
(-.f64 (+.f64 1 (+.f64 1 (exp.f64 b))) 1)
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 (exp.f64 b) 1)
(+.f64 2 (expm1.f64 b))
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 b))) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (-.f64 1 (exp.f64 b)))
(/.f64 (expm1.f64 (+.f64 b b)) (expm1.f64 b))
(/.f64 (+.f64 2 (expm1.f64 b)) 1)
(*.f64 1 (+.f64 1 (exp.f64 b)))
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 (exp.f64 b) 1)
(+.f64 2 (expm1.f64 b))
(*.f64 (+.f64 1 (exp.f64 b)) 1)
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 (exp.f64 b) 1)
(+.f64 2 (expm1.f64 b))
(*.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b))) (hypot.f64 1 (sqrt.f64 (exp.f64 b))))
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 (exp.f64 b) 1)
(+.f64 2 (expm1.f64 b))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2))
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 (exp.f64 b) 1)
(+.f64 2 (expm1.f64 b))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2) (cbrt.f64 (+.f64 1 (exp.f64 b))))
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 (exp.f64 b) 1)
(+.f64 2 (expm1.f64 b))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (/.f64 1 (-.f64 1 (exp.f64 b))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (-.f64 1 (exp.f64 b)))
(/.f64 (expm1.f64 (+.f64 b b)) (expm1.f64 b))
(/.f64 (+.f64 2 (expm1.f64 b)) 1)
(.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 1 (.f64 (exp.f64 b) (expm1.f64 b)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (fma.f64 (exp.f64 b) (expm1.f64 b) 1))
(/.f64 1 (/.f64 (-.f64 1 (exp.f64 b)) (-.f64 1 (pow.f64 (exp.f64 b) 2))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (-.f64 1 (exp.f64 b)))
(/.f64 (expm1.f64 (+.f64 b b)) (expm1.f64 b))
(/.f64 (+.f64 2 (expm1.f64 b)) 1)
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b))) (+.f64 1 (pow.f64 (exp.f64 b) 3))))
(.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 1 (.f64 (exp.f64 b) (expm1.f64 b)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (fma.f64 (exp.f64 b) (expm1.f64 b) 1))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (-.f64 1 (exp.f64 b)))
(/.f64 (expm1.f64 (+.f64 b b)) (expm1.f64 b))
(/.f64 (+.f64 2 (expm1.f64 b)) 1)
(/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b))))
(.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 1 (.f64 (exp.f64 b) (expm1.f64 b)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (fma.f64 (exp.f64 b) (expm1.f64 b) 1))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (+.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))
(.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 1 (.f64 (exp.f64 b) (expm1.f64 b)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (fma.f64 (exp.f64 b) (expm1.f64 b) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 b) 2) 1) (expm1.f64 b))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (-.f64 1 (exp.f64 b)))
(/.f64 (expm1.f64 (+.f64 b b)) (expm1.f64 b))
(/.f64 (+.f64 2 (expm1.f64 b)) 1)
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2))) (neg.f64 (-.f64 1 (exp.f64 b))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (-.f64 1 (exp.f64 b)))
(/.f64 (expm1.f64 (+.f64 b b)) (expm1.f64 b))
(/.f64 (+.f64 2 (expm1.f64 b)) 1)
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3))) (neg.f64 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b)))))
(.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 1 (.f64 (exp.f64 b) (expm1.f64 b)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (fma.f64 (exp.f64 b) (expm1.f64 b) 1))
(pow.f64 (+.f64 1 (exp.f64 b)) 1)
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 (exp.f64 b) 1)
(+.f64 2 (expm1.f64 b))
(pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b))) 2)
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 (exp.f64 b) 1)
(+.f64 2 (expm1.f64 b))
(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 3)
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 (exp.f64 b) 1)
(+.f64 2 (expm1.f64 b))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3) 1/3)
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 (exp.f64 b) 1)
(+.f64 2 (expm1.f64 b))
(pow.f64 (E.f64) (log1p.f64 (exp.f64 b)))
(exp.f64 (log1p.f64 (exp.f64 b)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 b))))
(pow.f64 (E.f64) (log1p.f64 (exp.f64 b)))
(exp.f64 (log1p.f64 (exp.f64 b)))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 b)))) (sqrt.f64 (log1p.f64 (exp.f64 b))))
(pow.f64 (E.f64) (log1p.f64 (exp.f64 b)))
(exp.f64 (log1p.f64 (exp.f64 b)))
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2))
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 (exp.f64 b) 1)
(+.f64 2 (expm1.f64 b))
(log.f64 (exp.f64 (+.f64 1 (exp.f64 b))))
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 (exp.f64 b) 1)
(+.f64 2 (expm1.f64 b))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3))
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 (exp.f64 b) 1)
(+.f64 2 (expm1.f64 b))
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 b))))
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 (exp.f64 b) 1)
(+.f64 2 (expm1.f64 b))
(exp.f64 (log1p.f64 (exp.f64 b)))
(pow.f64 (E.f64) (log1p.f64 (exp.f64 b)))
(log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 b))))
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 (exp.f64 b) 1)
(+.f64 2 (expm1.f64 b))
(fma.f64 1 (exp.f64 b) 1)
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 (exp.f64 b) 1)
(+.f64 2 (expm1.f64 b))
(fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)) 1)
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 (exp.f64 b) 1)
(+.f64 2 (expm1.f64 b))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 b)) 2) (cbrt.f64 (exp.f64 b)) 1)
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 (exp.f64 b) 1)
(+.f64 2 (expm1.f64 b))

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 b (.f64 1/2 (.f64 b b)))
✓	0.0b	(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b)))))
✓	0.0b	(.f64 1/2 (.f64 b b))
✓	3.4b	(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b))))))

Compiler

Compiled 58 to 28 computations (51.7% saved)

series69.0ms (0.4%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
47.0ms	a	@	-inf	(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b))))))
16.0ms	a	@	inf	(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b))))))
1.0ms	a	@	0	(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b))))))
1.0ms	b	@	inf	(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b))))))
1.0ms	b	@	-inf	(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b))))))

rewrite102.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1766×	`associate-*r/`
1380×	`associate-*l/`
602×	`associate-+l+`
382×	`associate-+r+`
350×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	100
1	299	88
2	4054	88

Stop Event

1×	node limit

Counts

4 → 176

Calls

Call 1

Inputs
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b))))))
(.f64 1/2 (.f64 b b))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b)))))
(+.f64 b (.f64 1/2 (.f64 b b)))

Outputs
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(.f64 b b) 3) (-.f64 (.f64 (.f64 1/8 (pow.f64 (.f64 b b) 3)) (.f64 1/8 (pow.f64 (.f64 b b) 3))) (.f64 (pow.f64 b 3) (.f64 1/8 (pow.f64 (.f64 b b) 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/2 (.f64 b b) b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/2 (.f64 b b) b)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 b b) b)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/2 (.f64 b b) b) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/2 (.f64 b b) b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/2 (.f64 b b) b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 (.f64 b b) b))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/2 (.f64 b b) b) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/2 (.f64 b b) b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/2 (.f64 b b) b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 1/2 (.f64 b b) b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/2 (.f64 b b) b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 b (.f64 b (.f64 b 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 b (.f64 b 1/2)) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (.f64 b b) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 b b) 1/2 b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 b (sqrt.f64 1/2)) (.f64 b (sqrt.f64 1/2)) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 b) (sqrt.f64 b) (.f64 b (.f64 b 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (.f64 b (.f64 b 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 1/4 (pow.f64 b 4))) (cbrt.f64 (.f64 b (.f64 b 1/2))) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b 1/2) b b)))))

simplify140.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1106×	`associate-+r-`
1016×	`associate--r+`
740×	`associate-+l-`
584×	`fma-def`
530×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	536	11950
1	1437	11330
2	5862	11330

Stop Event

1×	node limit

Counts

248 → 311

Calls

Call 1

Inputs
(log.f64 (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 (/.f64 a (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2))))) (log.f64 (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2))))))
(+.f64 (/.f64 a (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2))))) (/.f64 1 (pow.f64 (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2)))) 2))))) (log.f64 (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2)))))))
(+.f64 (/.f64 a (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2))))) (+.f64 (.f64 1/6 (.f64 (pow.f64 a 3) (-.f64 (+.f64 (/.f64 1 (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2))))) (.f64 2 (/.f64 1 (pow.f64 (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2)))) 3)))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2)))) 2)))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2))))) (/.f64 1 (pow.f64 (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2)))) 2))))) (log.f64 (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(log.f64 (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (.f64 1/2 (.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (.f64 1/6 (.f64 (pow.f64 b 3) (-.f64 (.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (+.f64 (.f64 1/2 (.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (/.f64 b (+.f64 1 (exp.f64 a))))))
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 b))) (log.f64 1/2))
(+.f64 (log.f64 1/2) (+.f64 (.f64 -2 (log.f64 (/.f64 1 b))) (.f64 2 (/.f64 1 b))))
(+.f64 (.f64 2 (/.f64 1 b)) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 4 (+.f64 1 (exp.f64 a))) 4) (pow.f64 b 2))) (+.f64 (log.f64 1/2) (.f64 -2 (log.f64 (/.f64 1 b))))))
(+.f64 (.f64 1/6 (/.f64 (+.f64 16 (.f64 -24 (+.f64 1 (exp.f64 a)))) (pow.f64 b 3))) (+.f64 (.f64 2 (/.f64 1 b)) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 4 (+.f64 1 (exp.f64 a))) 4) (pow.f64 b 2))) (+.f64 (log.f64 1/2) (.f64 -2 (log.f64 (/.f64 1 b)))))))
(+.f64 (log.f64 1/2) (*.f64 -2 (log.f64 (/.f64 -1 b))))
(+.f64 (log.f64 1/2) (+.f64 (.f64 2 (/.f64 1 b)) (.f64 -2 (log.f64 (/.f64 -1 b)))))
(+.f64 (.f64 2 (/.f64 1 b)) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 4 (+.f64 1 (exp.f64 a))) 4) (pow.f64 b 2))) (+.f64 (log.f64 1/2) (.f64 -2 (log.f64 (/.f64 -1 b))))))
(+.f64 (.f64 2 (/.f64 1 b)) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 4 (+.f64 1 (exp.f64 a))) 4) (pow.f64 b 2))) (+.f64 (log.f64 1/2) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 b))) (.f64 -1/6 (/.f64 (-.f64 (.f64 24 (+.f64 1 (exp.f64 a))) 16) (pow.f64 b 3)))))))
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (pow.f64 b 2))
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 2 (+.f64 a (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (+.f64 b (.f64 1/2 (pow.f64 b 2))))))
(+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (+.f64 (.f64 1/6 (pow.f64 a 3)) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 1 (exp.f64 a))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(*.f64 1/2 (pow.f64 b 2))
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(*.f64 1/2 (pow.f64 b 2))
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
b
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(*.f64 1/2 (pow.f64 b 2))
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(*.f64 1/2 (pow.f64 b 2))
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(+.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))) 0)
(+.f64 0 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b))))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)))) 2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)))) 2)) (log.f64 (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b))))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b))))) (log.f64 (sqrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b))))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)))) 2))) (log.f64 (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b))))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)))))) (log.f64 (sqrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b))))))
(-.f64 (log.f64 (+.f64 1 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 3))) (log.f64 (+.f64 1 (.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) (+.f64 (fma.f64 1/2 (.f64 b b) b) (expm1.f64 a))))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 2))) (log.f64 (-.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))))) 1)
(-.f64 (+.f64 0 (log.f64 (+.f64 1 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 3)))) (log.f64 (+.f64 1 (.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) (+.f64 (fma.f64 1/2 (.f64 b b) b) (expm1.f64 a))))))
(-.f64 (+.f64 0 (log.f64 (-.f64 1 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)) 2)))) (log.f64 (-.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)))))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))))) 1)
(.f64 1 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b))))
(.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b))) 1)
(.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)))) (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))))
(.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)))) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))) 2))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)))) 2) (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))))
(pow.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))) 3)
(pow.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))) 2))
(cbrt.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))))
(exp.f64 (log.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))))
(exp.f64 (.f64 (log.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (.f64 b b) b)))) 1))
(log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))
(-.f64 (exp.f64 (log1p.f64 (.f64 b (.f64 b 1/2)))) 1)
(pow.f64 (.f64 b (.f64 b 1/2)) 1)
(pow.f64 (*.f64 b (sqrt.f64 1/2)) 2)
(pow.f64 (cbrt.f64 (.f64 b (.f64 b 1/2))) 3)
(pow.f64 (.f64 1/8 (pow.f64 (.f64 b b) 3)) 1/3)
(sqrt.f64 (*.f64 1/4 (pow.f64 b 4)))
(log.f64 (pow.f64 (exp.f64 1/2) (*.f64 b b)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 b (.f64 b 1/2)))))
(cbrt.f64 (.f64 1/8 (pow.f64 (.f64 b b) 3)))
(expm1.f64 (log1p.f64 (.f64 b (.f64 b 1/2))))
(exp.f64 (log.f64 (.f64 b (.f64 b 1/2))))
(exp.f64 (.f64 (log.f64 (.f64 b (*.f64 b 1/2))) 1))
(log1p.f64 (expm1.f64 (.f64 b (.f64 b 1/2))))
(-.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))) 0)
(-.f64 (+.f64 1 (exp.f64 a)) (-.f64 1 (+.f64 1 (fma.f64 1/2 (*.f64 b b) b))))
(-.f64 (exp.f64 (log.f64 (+.f64 2 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))))) 1)
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(/.f64 (.f64 (sqrt.f64 (fma.f64 1/2 (.f64 b b) b)) (sqrt.f64 (+.f64 (pow.f64 b 3) (.f64 1/8 (pow.f64 (.f64 b b) 3))))) (sqrt.f64 (fma.f64 b b (-.f64 (.f64 1/4 (pow.f64 b 4)) (.f64 (pow.f64 b 3) 1/2)))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 b b) b)) 2) (cbrt.f64 (-.f64 (.f64 b b) (.f64 1/4 (pow.f64 b 4))))) (cbrt.f64 (+.f64 b (.f64 -1/2 (.f64 b b)))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 b b) b)) 2) (cbrt.f64 (+.f64 (pow.f64 b 3) (.f64 1/8 (pow.f64 (.f64 b b) 3))))) (cbrt.f64 (fma.f64 b b (-.f64 (.f64 1/4 (pow.f64 b 4)) (.f64 (pow.f64 b 3) 1/2)))))
(/.f64 (.f64 (-.f64 (.f64 b b) (.f64 1/4 (pow.f64 b 4))) 1) (+.f64 b (.f64 -1/2 (*.f64 b b))))
(/.f64 (.f64 (+.f64 (pow.f64 b 3) (.f64 1/8 (pow.f64 (.f64 b b) 3))) 1) (fma.f64 b b (-.f64 (.f64 1/4 (pow.f64 b 4)) (*.f64 (pow.f64 b 3) 1/2))))
(/.f64 (.f64 (-.f64 (.f64 1/4 (pow.f64 b 4)) (.f64 b b)) 1) (-.f64 (.f64 b (*.f64 b 1/2)) b))
(/.f64 (.f64 (neg.f64 (-.f64 (.f64 b b) (.f64 1/4 (pow.f64 b 4)))) 1) (neg.f64 (+.f64 b (.f64 -1/2 (*.f64 b b)))))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 b 3) (.f64 1/8 (pow.f64 (.f64 b b) 3)))) 1) (neg.f64 (fma.f64 b b (-.f64 (.f64 1/4 (pow.f64 b 4)) (*.f64 (pow.f64 b 3) 1/2)))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 1/4 (pow.f64 b 4)))) (sqrt.f64 (fma.f64 1/2 (.f64 b b) b))) (sqrt.f64 (+.f64 b (.f64 -1/2 (.f64 b b)))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 b 3) (.f64 1/8 (pow.f64 (.f64 b b) 3)))) (sqrt.f64 (fma.f64 1/2 (.f64 b b) b))) (sqrt.f64 (fma.f64 b b (-.f64 (.f64 1/4 (pow.f64 b 4)) (.f64 (pow.f64 b 3) 1/2)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 b b) (.f64 1/4 (pow.f64 b 4)))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 b b) b)) 2)) (cbrt.f64 (+.f64 b (.f64 -1/2 (.f64 b b)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 b 3) (.f64 1/8 (pow.f64 (.f64 b b) 3)))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 b b) b)) 2)) (cbrt.f64 (fma.f64 b b (-.f64 (.f64 1/4 (pow.f64 b 4)) (.f64 (pow.f64 b 3) 1/2)))))
(/.f64 (.f64 (-.f64 (pow.f64 b 4) (.f64 (.f64 1/4 (pow.f64 b 4)) (.f64 1/4 (pow.f64 b 4)))) (/.f64 1 (+.f64 b (.f64 -1/2 (.f64 b b))))) (+.f64 (.f64 b b) (.f64 1/4 (pow.f64 b 4))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 b b) 3) (pow.f64 (.f64 1/4 (pow.f64 b 4)) 3)) (/.f64 1 (+.f64 b (.f64 -1/2 (.f64 b b))))) (+.f64 (pow.f64 b 4) (+.f64 (.f64 (.f64 1/4 (pow.f64 b 4)) (.f64 1/4 (pow.f64 b 4))) (.f64 (.f64 b b) (*.f64 1/4 (pow.f64 b 4))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 b b) 3) (.f64 (.f64 1/8 (pow.f64 (.f64 b b) 3)) (.f64 1/8 (pow.f64 (.f64 b b) 3)))) (/.f64 1 (fma.f64 b b (-.f64 (.f64 1/4 (pow.f64 b 4)) (.f64 (pow.f64 b 3) 1/2))))) (-.f64 (pow.f64 b 3) (.f64 1/8 (pow.f64 (*.f64 b b) 3))))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 b 3) 3) (pow.f64 (.f64 1/8 (pow.f64 (.f64 b b) 3)) 3)) (/.f64 1 (fma.f64 b b (-.f64 (.f64 1/4 (pow.f64 b 4)) (.f64 (pow.f64 b 3) 1/2))))) (+.f64 (pow.f64 (.f64 b b) 3) (-.f64 (.f64 (.f64 1/8 (pow.f64 (.f64 b b) 3)) (.f64 1/8 (pow.f64 (.f64 b b) 3))) (.f64 (pow.f64 b 3) (.f64 1/8 (pow.f64 (.f64 b b) 3))))))
(pow.f64 (fma.f64 1/2 (*.f64 b b) b) 1)
(pow.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 b b) b)) 2)
(pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) b)) 3)
(pow.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) 2))
(log.f64 (exp.f64 (fma.f64 1/2 (*.f64 b b) b)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 (*.f64 b b) b))))
(cbrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/2 (*.f64 b b) b)))
(exp.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) b)))
(exp.f64 (.f64 (log.f64 (fma.f64 1/2 (.f64 b b) b)) 1))
(log1p.f64 (expm1.f64 (fma.f64 1/2 (*.f64 b b) b)))
(fma.f64 1 b (.f64 b (.f64 b 1/2)))
(fma.f64 1 (.f64 b (.f64 b 1/2)) b)
(fma.f64 1/2 (*.f64 b b) b)
(fma.f64 (*.f64 b b) 1/2 b)
(fma.f64 (.f64 b (sqrt.f64 1/2)) (.f64 b (sqrt.f64 1/2)) b)
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) (.f64 b (.f64 b 1/2)))
(fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (.f64 b (.f64 b 1/2)))
(fma.f64 (cbrt.f64 (.f64 1/4 (pow.f64 b 4))) (cbrt.f64 (.f64 b (*.f64 b 1/2))) b)
(fma.f64 (*.f64 b 1/2) b b)

Outputs
(log.f64 (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(log.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)))
(log.f64 (+.f64 2 (fma.f64 b (*.f64 b 1/2) b)))
(+.f64 (/.f64 a (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2))))) (log.f64 (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2))))))
(+.f64 (log.f64 (+.f64 2 (fma.f64 1/2 (.f64 b b) b))) (/.f64 a (+.f64 2 (fma.f64 1/2 (.f64 b b) b))))
(+.f64 (log.f64 (+.f64 2 (fma.f64 b (.f64 b 1/2) b))) (/.f64 a (+.f64 2 (fma.f64 b (.f64 b 1/2) b))))
(+.f64 (/.f64 a (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2))))) (/.f64 1 (pow.f64 (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2)))) 2))))) (log.f64 (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2)))))))
(+.f64 (/.f64 a (+.f64 2 (fma.f64 1/2 (.f64 b b) b))) (fma.f64 1/2 (.f64 (.f64 a a) (-.f64 (/.f64 1 (+.f64 2 (fma.f64 1/2 (.f64 b b) b))) (/.f64 1 (pow.f64 (+.f64 2 (fma.f64 1/2 (.f64 b b) b)) 2)))) (log.f64 (+.f64 2 (fma.f64 1/2 (.f64 b b) b)))))
(+.f64 (/.f64 a (+.f64 2 (fma.f64 b (.f64 b 1/2) b))) (fma.f64 1/2 (.f64 a (.f64 a (+.f64 (/.f64 1 (+.f64 2 (fma.f64 b (.f64 b 1/2) b))) (/.f64 -1 (pow.f64 (+.f64 2 (fma.f64 b (.f64 b 1/2) b)) 2))))) (log.f64 (+.f64 2 (fma.f64 b (.f64 b 1/2) b)))))
(+.f64 (/.f64 a (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2))))) (+.f64 (.f64 1/6 (.f64 (pow.f64 a 3) (-.f64 (+.f64 (/.f64 1 (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2))))) (.f64 2 (/.f64 1 (pow.f64 (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2)))) 3)))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2)))) 2)))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2))))) (/.f64 1 (pow.f64 (+.f64 2 (+.f64 b (.f64 1/2 (pow.f64 b 2)))) 2))))) (log.f64 (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))))
(+.f64 (/.f64 a (+.f64 2 (fma.f64 1/2 (.f64 b b) b))) (fma.f64 1/6 (.f64 (pow.f64 a 3) (+.f64 (/.f64 1 (+.f64 2 (fma.f64 1/2 (.f64 b b) b))) (-.f64 (/.f64 2 (pow.f64 (+.f64 2 (fma.f64 1/2 (.f64 b b) b)) 3)) (/.f64 3 (pow.f64 (+.f64 2 (fma.f64 1/2 (.f64 b b) b)) 2))))) (fma.f64 1/2 (.f64 (.f64 a a) (-.f64 (/.f64 1 (+.f64 2 (fma.f64 1/2 (.f64 b b) b))) (/.f64 1 (pow.f64 (+.f64 2 (fma.f64 1/2 (.f64 b b) b)) 2)))) (log.f64 (+.f64 2 (fma.f64 1/2 (.f64 b b) b))))))
(+.f64 (/.f64 a (+.f64 2 (fma.f64 b (.f64 b 1/2) b))) (fma.f64 1/6 (.f64 (pow.f64 a 3) (+.f64 (/.f64 1 (+.f64 2 (fma.f64 b (.f64 b 1/2) b))) (+.f64 (/.f64 2 (pow.f64 (+.f64 2 (fma.f64 b (.f64 b 1/2) b)) 3)) (/.f64 -3 (pow.f64 (+.f64 2 (fma.f64 b (.f64 b 1/2) b)) 2))))) (fma.f64 1/2 (.f64 a (.f64 a (+.f64 (/.f64 1 (+.f64 2 (fma.f64 b (.f64 b 1/2) b))) (/.f64 -1 (pow.f64 (+.f64 2 (fma.f64 b (.f64 b 1/2) b)) 2))))) (log.f64 (+.f64 2 (fma.f64 b (.f64 b 1/2) b))))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))
(log1p.f64 (+.f64 (exp.f64 a) (fma.f64 b (*.f64 b 1/2) b)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))
(log1p.f64 (+.f64 (exp.f64 a) (fma.f64 b (*.f64 b 1/2) b)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))
(log1p.f64 (+.f64 (exp.f64 a) (fma.f64 b (*.f64 b 1/2) b)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))
(log1p.f64 (+.f64 (exp.f64 a) (fma.f64 b (*.f64 b 1/2) b)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))
(log1p.f64 (+.f64 (exp.f64 a) (fma.f64 b (*.f64 b 1/2) b)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))
(log1p.f64 (+.f64 (exp.f64 a) (fma.f64 b (*.f64 b 1/2) b)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))
(log1p.f64 (+.f64 (exp.f64 a) (fma.f64 b (*.f64 b 1/2) b)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))
(log1p.f64 (+.f64 (exp.f64 a) (fma.f64 b (*.f64 b 1/2) b)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (.f64 1/2 (.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 1/2 (.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (.f64 b b)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 1/2 (.f64 b (.f64 b (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (.f64 1/6 (.f64 (pow.f64 b 3) (-.f64 (.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (+.f64 (.f64 1/2 (.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (/.f64 b (+.f64 1 (exp.f64 a))))))
(+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 1/6 (.f64 (pow.f64 b 3) (-.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (/.f64 3 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (fma.f64 1/2 (.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 b b)) (/.f64 b (+.f64 1 (exp.f64 a))))))
(+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 1/6 (.f64 (pow.f64 b 3) (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (/.f64 -3 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (fma.f64 1/2 (.f64 b (*.f64 b (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (/.f64 b (+.f64 1 (exp.f64 a))))))
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 b))) (log.f64 1/2))
(fma.f64 -2 (neg.f64 (log.f64 b)) (log.f64 1/2))
(+.f64 (log.f64 1/2) (+.f64 (.f64 -2 (log.f64 (/.f64 1 b))) (.f64 2 (/.f64 1 b))))
(+.f64 (log.f64 1/2) (fma.f64 -2 (neg.f64 (log.f64 b)) (/.f64 2 b)))
(+.f64 (/.f64 2 b) (fma.f64 -2 (neg.f64 (log.f64 b)) (log.f64 1/2)))
(+.f64 (.f64 2 (/.f64 1 b)) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 4 (+.f64 1 (exp.f64 a))) 4) (pow.f64 b 2))) (+.f64 (log.f64 1/2) (.f64 -2 (log.f64 (/.f64 1 b))))))
(+.f64 (/.f64 2 b) (fma.f64 1/2 (/.f64 (fma.f64 4 (+.f64 1 (exp.f64 a)) -4) (*.f64 b b)) (fma.f64 -2 (neg.f64 (log.f64 b)) (log.f64 1/2))))
(+.f64 (fma.f64 1/2 (/.f64 (fma.f64 (+.f64 1 (exp.f64 a)) 4 -4) (*.f64 b b)) (log.f64 1/2)) (fma.f64 -2 (neg.f64 (log.f64 b)) (/.f64 2 b)))
(+.f64 (.f64 1/6 (/.f64 (+.f64 16 (.f64 -24 (+.f64 1 (exp.f64 a)))) (pow.f64 b 3))) (+.f64 (.f64 2 (/.f64 1 b)) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 4 (+.f64 1 (exp.f64 a))) 4) (pow.f64 b 2))) (+.f64 (log.f64 1/2) (.f64 -2 (log.f64 (/.f64 1 b)))))))
(fma.f64 1/6 (/.f64 (+.f64 16 (+.f64 -24 (.f64 -24 (exp.f64 a)))) (pow.f64 b 3)) (+.f64 (/.f64 2 b) (fma.f64 1/2 (/.f64 (fma.f64 4 (+.f64 1 (exp.f64 a)) -4) (.f64 b b)) (fma.f64 -2 (neg.f64 (log.f64 b)) (log.f64 1/2)))))
(+.f64 (fma.f64 1/2 (/.f64 (fma.f64 (+.f64 1 (exp.f64 a)) 4 -4) (.f64 b b)) (fma.f64 -2 (neg.f64 (log.f64 b)) (log.f64 1/2))) (fma.f64 1/6 (/.f64 (+.f64 -8 (.f64 (exp.f64 a) -24)) (pow.f64 b 3)) (/.f64 2 b)))
(+.f64 (log.f64 1/2) (*.f64 -2 (log.f64 (/.f64 -1 b))))
(fma.f64 -2 (log.f64 (/.f64 -1 b)) (log.f64 1/2))
(+.f64 (log.f64 1/2) (+.f64 (.f64 2 (/.f64 1 b)) (.f64 -2 (log.f64 (/.f64 -1 b)))))
(+.f64 (log.f64 1/2) (+.f64 (/.f64 2 b) (*.f64 -2 (log.f64 (/.f64 -1 b)))))
(+.f64 (/.f64 2 b) (fma.f64 -2 (log.f64 (/.f64 -1 b)) (log.f64 1/2)))
(+.f64 (.f64 2 (/.f64 1 b)) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 4 (+.f64 1 (exp.f64 a))) 4) (pow.f64 b 2))) (+.f64 (log.f64 1/2) (.f64 -2 (log.f64 (/.f64 -1 b))))))
(+.f64 (/.f64 2 b) (fma.f64 1/2 (/.f64 (fma.f64 4 (+.f64 1 (exp.f64 a)) -4) (.f64 b b)) (+.f64 (log.f64 1/2) (.f64 -2 (log.f64 (/.f64 -1 b))))))
(+.f64 (fma.f64 1/2 (/.f64 (fma.f64 (+.f64 1 (exp.f64 a)) 4 -4) (*.f64 b b)) (log.f64 1/2)) (fma.f64 -2 (log.f64 (/.f64 -1 b)) (/.f64 2 b)))
(+.f64 (.f64 2 (/.f64 1 b)) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 4 (+.f64 1 (exp.f64 a))) 4) (pow.f64 b 2))) (+.f64 (log.f64 1/2) (+.f64 (.f64 -2 (log.f64 (/.f64 -1 b))) (.f64 -1/6 (/.f64 (-.f64 (.f64 24 (+.f64 1 (exp.f64 a))) 16) (pow.f64 b 3)))))))
(+.f64 (/.f64 2 b) (fma.f64 1/2 (/.f64 (fma.f64 4 (+.f64 1 (exp.f64 a)) -4) (.f64 b b)) (+.f64 (log.f64 1/2) (fma.f64 -2 (log.f64 (/.f64 -1 b)) (.f64 -1/6 (/.f64 (fma.f64 24 (+.f64 1 (exp.f64 a)) -16) (pow.f64 b 3)))))))
(+.f64 (/.f64 2 b) (+.f64 (fma.f64 -2 (log.f64 (/.f64 -1 b)) (/.f64 (.f64 -1/6 (fma.f64 (+.f64 1 (exp.f64 a)) 24 -16)) (pow.f64 b 3))) (fma.f64 1/2 (/.f64 (fma.f64 (+.f64 1 (exp.f64 a)) 4 -4) (.f64 b b)) (log.f64 1/2))))
(*.f64 1/2 (pow.f64 b 2))
(.f64 b (.f64 b 1/2))
(*.f64 1/2 (pow.f64 b 2))
(.f64 b (.f64 b 1/2))
(*.f64 1/2 (pow.f64 b 2))
(.f64 b (.f64 b 1/2))
(*.f64 1/2 (pow.f64 b 2))
(.f64 b (.f64 b 1/2))
(*.f64 1/2 (pow.f64 b 2))
(.f64 b (.f64 b 1/2))
(*.f64 1/2 (pow.f64 b 2))
(.f64 b (.f64 b 1/2))
(*.f64 1/2 (pow.f64 b 2))
(.f64 b (.f64 b 1/2))
(*.f64 1/2 (pow.f64 b 2))
(.f64 b (.f64 b 1/2))
(*.f64 1/2 (pow.f64 b 2))
(.f64 b (.f64 b 1/2))
(*.f64 1/2 (pow.f64 b 2))
(.f64 b (.f64 b 1/2))
(*.f64 1/2 (pow.f64 b 2))
(.f64 b (.f64 b 1/2))
(*.f64 1/2 (pow.f64 b 2))
(.f64 b (.f64 b 1/2))
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 2 (fma.f64 1/2 (*.f64 b b) b))
(+.f64 2 (fma.f64 b (*.f64 b 1/2) b))
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(fma.f64 1/2 (.f64 a a) (+.f64 (fma.f64 b (.f64 b 1/2) b) (+.f64 2 a)))
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(*.f64 1/2 (pow.f64 b 2))
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b
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(log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))
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(/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 b b) b)) 2) (/.f64 (cbrt.f64 (fma.f64 b b (-.f64 (.f64 1/4 (pow.f64 b 4)) (.f64 1/2 (pow.f64 b 3))))) (cbrt.f64 (+.f64 (pow.f64 b 3) (.f64 1/8 (pow.f64 (*.f64 b b) 3))))))
(.f64 (/.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 b 6) (pow.f64 b 3))) (cbrt.f64 (fma.f64 b b (fma.f64 1/4 (pow.f64 b 4) (.f64 (pow.f64 b 3) -1/2))))) (pow.f64 (cbrt.f64 (fma.f64 b (*.f64 b 1/2) b)) 2))
(/.f64 (.f64 (-.f64 (.f64 b b) (.f64 1/4 (pow.f64 b 4))) 1) (+.f64 b (.f64 -1/2 (*.f64 b b))))
(/.f64 (+.f64 (.f64 b b) (.f64 -1/4 (pow.f64 b 4))) (+.f64 b (.f64 (.f64 b b) -1/2)))
(/.f64 (fma.f64 b b (.f64 (pow.f64 b 4) -1/4)) (fma.f64 (.f64 b b) -1/2 b))
(/.f64 (.f64 (+.f64 (pow.f64 b 3) (.f64 1/8 (pow.f64 (.f64 b b) 3))) 1) (fma.f64 b b (-.f64 (.f64 1/4 (pow.f64 b 4)) (*.f64 (pow.f64 b 3) 1/2))))
(/.f64 (+.f64 (pow.f64 b 3) (.f64 1/8 (pow.f64 (.f64 b b) 3))) (fma.f64 b b (-.f64 (.f64 1/4 (pow.f64 b 4)) (.f64 1/2 (pow.f64 b 3)))))
(/.f64 (fma.f64 1/8 (pow.f64 b 6) (pow.f64 b 3)) (fma.f64 b b (fma.f64 1/4 (pow.f64 b 4) (*.f64 (pow.f64 b 3) -1/2))))
(/.f64 (.f64 (-.f64 (.f64 1/4 (pow.f64 b 4)) (.f64 b b)) 1) (-.f64 (.f64 b (*.f64 b 1/2)) b))
(/.f64 (+.f64 (.f64 b b) (.f64 -1/4 (pow.f64 b 4))) (+.f64 b (.f64 (.f64 b b) -1/2)))
(/.f64 (fma.f64 b b (.f64 (pow.f64 b 4) -1/4)) (fma.f64 (.f64 b b) -1/2 b))
(/.f64 (.f64 (neg.f64 (-.f64 (.f64 b b) (.f64 1/4 (pow.f64 b 4)))) 1) (neg.f64 (+.f64 b (.f64 -1/2 (*.f64 b b)))))
(/.f64 (+.f64 (.f64 b b) (.f64 -1/4 (pow.f64 b 4))) (+.f64 b (.f64 (.f64 b b) -1/2)))
(/.f64 (fma.f64 b b (.f64 (pow.f64 b 4) -1/4)) (fma.f64 (.f64 b b) -1/2 b))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 b 3) (.f64 1/8 (pow.f64 (.f64 b b) 3)))) 1) (neg.f64 (fma.f64 b b (-.f64 (.f64 1/4 (pow.f64 b 4)) (*.f64 (pow.f64 b 3) 1/2)))))
(/.f64 (+.f64 (pow.f64 b 3) (.f64 1/8 (pow.f64 (.f64 b b) 3))) (fma.f64 b b (-.f64 (.f64 1/4 (pow.f64 b 4)) (.f64 1/2 (pow.f64 b 3)))))
(/.f64 (fma.f64 1/8 (pow.f64 b 6) (pow.f64 b 3)) (fma.f64 b b (fma.f64 1/4 (pow.f64 b 4) (*.f64 (pow.f64 b 3) -1/2))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 1/4 (pow.f64 b 4)))) (sqrt.f64 (fma.f64 1/2 (.f64 b b) b))) (sqrt.f64 (+.f64 b (.f64 -1/2 (.f64 b b)))))
(/.f64 (sqrt.f64 (fma.f64 1/2 (.f64 b b) b)) (/.f64 (sqrt.f64 (+.f64 b (.f64 (.f64 b b) -1/2))) (sqrt.f64 (+.f64 (.f64 b b) (*.f64 -1/4 (pow.f64 b 4))))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 b (.f64 b 1/2) b)) (sqrt.f64 (fma.f64 (.f64 b b) -1/2 b))) (sqrt.f64 (fma.f64 b b (.f64 (pow.f64 b 4) -1/4))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 b 3) (.f64 1/8 (pow.f64 (.f64 b b) 3)))) (sqrt.f64 (fma.f64 1/2 (.f64 b b) b))) (sqrt.f64 (fma.f64 b b (-.f64 (.f64 1/4 (pow.f64 b 4)) (.f64 (pow.f64 b 3) 1/2)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 b 3) (.f64 1/8 (pow.f64 (.f64 b b) 3)))) (/.f64 (sqrt.f64 (fma.f64 b b (-.f64 (.f64 1/4 (pow.f64 b 4)) (.f64 1/2 (pow.f64 b 3))))) (sqrt.f64 (fma.f64 1/2 (*.f64 b b) b))))
(/.f64 (sqrt.f64 (fma.f64 b (.f64 b 1/2) b)) (/.f64 (sqrt.f64 (fma.f64 b b (fma.f64 1/4 (pow.f64 b 4) (.f64 (pow.f64 b 3) -1/2)))) (sqrt.f64 (fma.f64 1/8 (pow.f64 b 6) (pow.f64 b 3)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 b b) (.f64 1/4 (pow.f64 b 4)))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 b b) b)) 2)) (cbrt.f64 (+.f64 b (.f64 -1/2 (.f64 b b)))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 b b) b)) 2) (/.f64 (cbrt.f64 (+.f64 b (.f64 (.f64 b b) -1/2))) (cbrt.f64 (+.f64 (.f64 b b) (*.f64 -1/4 (pow.f64 b 4))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 b (.f64 b 1/2) b)) 2) (cbrt.f64 (fma.f64 (.f64 b b) -1/2 b))) (cbrt.f64 (fma.f64 b b (.f64 (pow.f64 b 4) -1/4))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 b 3) (.f64 1/8 (pow.f64 (.f64 b b) 3)))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 b b) b)) 2)) (cbrt.f64 (fma.f64 b b (-.f64 (.f64 1/4 (pow.f64 b 4)) (.f64 (pow.f64 b 3) 1/2)))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 b b) b)) 2) (/.f64 (cbrt.f64 (fma.f64 b b (-.f64 (.f64 1/4 (pow.f64 b 4)) (.f64 1/2 (pow.f64 b 3))))) (cbrt.f64 (+.f64 (pow.f64 b 3) (.f64 1/8 (pow.f64 (*.f64 b b) 3))))))
(.f64 (/.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 b 6) (pow.f64 b 3))) (cbrt.f64 (fma.f64 b b (fma.f64 1/4 (pow.f64 b 4) (.f64 (pow.f64 b 3) -1/2))))) (pow.f64 (cbrt.f64 (fma.f64 b (*.f64 b 1/2) b)) 2))
(/.f64 (.f64 (-.f64 (pow.f64 b 4) (.f64 (.f64 1/4 (pow.f64 b 4)) (.f64 1/4 (pow.f64 b 4)))) (/.f64 1 (+.f64 b (.f64 -1/2 (.f64 b b))))) (+.f64 (.f64 b b) (.f64 1/4 (pow.f64 b 4))))
(/.f64 (/.f64 (.f64 (-.f64 (pow.f64 b 4) (.f64 1/16 (.f64 (pow.f64 b 4) (pow.f64 b 4)))) 1) (+.f64 b (.f64 (.f64 b b) -1/2))) (fma.f64 b b (.f64 1/4 (pow.f64 b 4))))
(/.f64 (+.f64 (pow.f64 b 4) (.f64 -1/16 (pow.f64 b 8))) (.f64 (fma.f64 b b (.f64 1/4 (pow.f64 b 4))) (fma.f64 (.f64 b b) -1/2 b)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 b b) 3) (pow.f64 (.f64 1/4 (pow.f64 b 4)) 3)) (/.f64 1 (+.f64 b (.f64 -1/2 (.f64 b b))))) (+.f64 (pow.f64 b 4) (+.f64 (.f64 (.f64 1/4 (pow.f64 b 4)) (.f64 1/4 (pow.f64 b 4))) (.f64 (.f64 b b) (*.f64 1/4 (pow.f64 b 4))))))
(/.f64 (-.f64 (pow.f64 (.f64 b b) 3) (.f64 1/64 (pow.f64 (pow.f64 b 4) 3))) (/.f64 (+.f64 (pow.f64 b 4) (.f64 (.f64 1/4 (pow.f64 b 4)) (fma.f64 b b (.f64 1/4 (pow.f64 b 4))))) (/.f64 1 (+.f64 b (.f64 (*.f64 b b) -1/2)))))
(/.f64 (/.f64 (+.f64 (pow.f64 b 6) (.f64 -1/64 (pow.f64 (.f64 b b) 6))) (fma.f64 (.f64 b b) -1/2 b)) (+.f64 (pow.f64 b 4) (fma.f64 1/16 (pow.f64 b 8) (.f64 (pow.f64 b 6) 1/4))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 b b) 3) (.f64 (.f64 1/8 (pow.f64 (.f64 b b) 3)) (.f64 1/8 (pow.f64 (.f64 b b) 3)))) (/.f64 1 (fma.f64 b b (-.f64 (.f64 1/4 (pow.f64 b 4)) (.f64 (pow.f64 b 3) 1/2))))) (-.f64 (pow.f64 b 3) (.f64 1/8 (pow.f64 (*.f64 b b) 3))))
(/.f64 (.f64 (/.f64 1 (fma.f64 b b (-.f64 (.f64 1/4 (pow.f64 b 4)) (.f64 1/2 (pow.f64 b 3))))) (-.f64 (pow.f64 (.f64 b b) 3) (.f64 1/64 (.f64 (pow.f64 (.f64 b b) 3) (pow.f64 (.f64 b b) 3))))) (+.f64 (pow.f64 b 3) (.f64 -1/8 (pow.f64 (.f64 b b) 3))))
(/.f64 (+.f64 (pow.f64 b 6) (.f64 -1/64 (pow.f64 (.f64 b b) 6))) (.f64 (+.f64 (pow.f64 b 3) (.f64 (pow.f64 b 6) -1/8)) (fma.f64 b b (fma.f64 1/4 (pow.f64 b 4) (*.f64 (pow.f64 b 3) -1/2)))))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 b 3) 3) (pow.f64 (.f64 1/8 (pow.f64 (.f64 b b) 3)) 3)) (/.f64 1 (fma.f64 b b (-.f64 (.f64 1/4 (pow.f64 b 4)) (.f64 (pow.f64 b 3) 1/2))))) (+.f64 (pow.f64 (.f64 b b) 3) (-.f64 (.f64 (.f64 1/8 (pow.f64 (.f64 b b) 3)) (.f64 1/8 (pow.f64 (.f64 b b) 3))) (.f64 (pow.f64 b 3) (.f64 1/8 (pow.f64 (.f64 b b) 3))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 b 3) 3) (.f64 1/512 (pow.f64 (pow.f64 (.f64 b b) 3) 3))) (/.f64 (+.f64 (pow.f64 (.f64 b b) 3) (.f64 (.f64 1/8 (pow.f64 (.f64 b b) 3)) (-.f64 (.f64 1/8 (pow.f64 (.f64 b b) 3)) (pow.f64 b 3)))) (/.f64 1 (fma.f64 b b (-.f64 (.f64 1/4 (pow.f64 b 4)) (.f64 1/2 (pow.f64 b 3)))))))
(/.f64 (fma.f64 1/512 (pow.f64 (pow.f64 b 6) 3) (.f64 b (pow.f64 b 8))) (.f64 (fma.f64 (.f64 1/8 (pow.f64 b 6)) (-.f64 (.f64 1/8 (pow.f64 b 6)) (pow.f64 b 3)) (pow.f64 b 6)) (fma.f64 b b (fma.f64 1/4 (pow.f64 b 4) (*.f64 (pow.f64 b 3) -1/2)))))
(pow.f64 (fma.f64 1/2 (*.f64 b b) b) 1)
(fma.f64 1/2 (*.f64 b b) b)
(fma.f64 b (*.f64 b 1/2) b)
(pow.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 b b) b)) 2)
(fma.f64 1/2 (*.f64 b b) b)
(fma.f64 b (*.f64 b 1/2) b)
(pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) b)) 3)
(fma.f64 1/2 (*.f64 b b) b)
(fma.f64 b (*.f64 b 1/2) b)
(pow.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) 3) 1/3)
(fma.f64 1/2 (*.f64 b b) b)
(fma.f64 b (*.f64 b 1/2) b)
(sqrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) 2))
(fabs.f64 (fma.f64 b (*.f64 b 1/2) b))
(log.f64 (exp.f64 (fma.f64 1/2 (*.f64 b b) b)))
(fma.f64 1/2 (*.f64 b b) b)
(fma.f64 b (*.f64 b 1/2) b)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 (*.f64 b b) b))))
(fma.f64 1/2 (*.f64 b b) b)
(fma.f64 b (*.f64 b 1/2) b)
(cbrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) 3))
(fma.f64 1/2 (*.f64 b b) b)
(fma.f64 b (*.f64 b 1/2) b)
(expm1.f64 (log1p.f64 (fma.f64 1/2 (*.f64 b b) b)))
(fma.f64 1/2 (*.f64 b b) b)
(fma.f64 b (*.f64 b 1/2) b)
(exp.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) b)))
(fma.f64 1/2 (*.f64 b b) b)
(fma.f64 b (*.f64 b 1/2) b)
(exp.f64 (.f64 (log.f64 (fma.f64 1/2 (.f64 b b) b)) 1))
(fma.f64 1/2 (*.f64 b b) b)
(fma.f64 b (*.f64 b 1/2) b)
(log1p.f64 (expm1.f64 (fma.f64 1/2 (*.f64 b b) b)))
(fma.f64 1/2 (*.f64 b b) b)
(fma.f64 b (*.f64 b 1/2) b)
(fma.f64 1 b (.f64 b (.f64 b 1/2)))
(fma.f64 1/2 (*.f64 b b) b)
(fma.f64 b (*.f64 b 1/2) b)
(fma.f64 1 (.f64 b (.f64 b 1/2)) b)
(fma.f64 1/2 (*.f64 b b) b)
(fma.f64 b (*.f64 b 1/2) b)
(fma.f64 1/2 (*.f64 b b) b)
(fma.f64 b (*.f64 b 1/2) b)
(fma.f64 (*.f64 b b) 1/2 b)
(fma.f64 1/2 (*.f64 b b) b)
(fma.f64 b (*.f64 b 1/2) b)
(fma.f64 (.f64 b (sqrt.f64 1/2)) (.f64 b (sqrt.f64 1/2)) b)
(+.f64 (pow.f64 (*.f64 b (sqrt.f64 1/2)) 2) b)
(+.f64 b (pow.f64 (*.f64 b (sqrt.f64 1/2)) 2))
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) (.f64 b (.f64 b 1/2)))
(fma.f64 1/2 (*.f64 b b) b)
(fma.f64 b (*.f64 b 1/2) b)
(fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (.f64 b (.f64 b 1/2)))
(fma.f64 1/2 (*.f64 b b) b)
(fma.f64 b (*.f64 b 1/2) b)
(fma.f64 (cbrt.f64 (.f64 1/4 (pow.f64 b 4))) (cbrt.f64 (.f64 b (*.f64 b 1/2))) b)
(fma.f64 (*.f64 b 1/2) b b)
(fma.f64 1/2 (*.f64 b b) b)
(fma.f64 b (*.f64 b 1/2) b)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
✓	0.1b	(pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3)
✓	0.5b	(cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
✓	4.4b	(log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3))

Compiler

Compiled 37 to 12 computations (67.6% saved)

series86.0ms (0.5%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
21.0ms	b	@	-inf	(log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3))
19.0ms	a	@	inf	(log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3))
16.0ms	a	@	-inf	(log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3))
15.0ms	b	@	inf	(log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3))
5.0ms	b	@	0	(log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3))

rewrite84.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

892×	`*-commutative`
804×	`unswap-sqr`
534×	`swap-sqr`
482×	`distribute-lft-in`
472×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	53
1	244	53
2	2751	53

Stop Event

1×	node limit

Counts

3 → 189

Calls

Call 1

Inputs
(log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3))
(cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (*.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1/6)) (+.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1/6)) (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 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fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)) (exp.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (cbrt.f64 (exp.f64 a)) (exp.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (exp.f64 b) 2)) (cbrt.f64 (exp.f64 b)) (exp.f64 a))))))

simplify123.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1236×	`associate-r`
1038×	`associate-l`
772×	`*-commutative`
762×	`fma-def`
544×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	696	13975
1	2100	13975

Stop Event

1×	node limit

Counts

261 → 227

Calls

Call 1

Inputs
(log.f64 (*.f64 (pow.f64 1 1/3) (+.f64 1 (exp.f64 b))))
(+.f64 (.f64 (pow.f64 1 1/3) (/.f64 (.f64 a (+.f64 (.f64 1/3 (pow.f64 (.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) 1/9)) (.f64 2/3 (pow.f64 (.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) 1/9)))) (+.f64 1 (exp.f64 b)))) (log.f64 (*.f64 (pow.f64 1 1/3) (+.f64 1 (exp.f64 b)))))
(+.f64 (.f64 (pow.f64 1 1/3) (/.f64 (.f64 a (+.f64 (.f64 1/3 (pow.f64 (.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) 1/9)) (.f64 2/3 (pow.f64 (.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) 1/9)))) (+.f64 1 (exp.f64 b)))) (+.f64 (log.f64 (.f64 (pow.f64 1 1/3) (+.f64 1 (exp.f64 b)))) (.f64 1/2 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (.f64 (pow.f64 1 1/3) (/.f64 (pow.f64 (+.f64 (.f64 1/3 (pow.f64 (.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) 1/9)) (.f64 2/3 (pow.f64 (.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) 1/9))) 2) (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (.f64 2 (.f64 (pow.f64 1 1/3) (/.f64 (+.f64 (.f64 (pow.f64 (.f64 1 (+.f64 1 (exp.f64 b))) 1/3) (+.f64 (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) 1/9)) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1/3) (-.f64 1/2 (.f64 1/3 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1/9))))))) (+.f64 (.f64 2/9 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1/9)) (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 1/2 (*.f64 1/3 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1/9))))))) (+.f64 1 (exp.f64 b))))))))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 a 3) (+.f64 (.f64 -6 (.f64 (pow.f64 1 1/3) (/.f64 (.f64 (+.f64 (.f64 (pow.f64 (.f64 1 (+.f64 1 (exp.f64 b))) 1/3) (+.f64 (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) 1/9)) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1/3) (-.f64 1/2 (.f64 1/3 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1/9))))))) (+.f64 (.f64 2/9 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1/9)) (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 1/2 (.f64 1/3 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1/9))))))) (+.f64 (.f64 1/3 (pow.f64 (.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) 1/9)) (.f64 2/3 (pow.f64 (.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) 1/9)))) (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (+.f64 (.f64 2 (/.f64 (pow.f64 (+.f64 (.f64 1/3 (pow.f64 (.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) 1/9)) (.f64 2/3 (pow.f64 (.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) 1/9))) 3) (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (.f64 6 (.f64 (pow.f64 1 1/3) (/.f64 (+.f64 (.f64 (pow.f64 (.f64 1 (+.f64 1 (exp.f64 b))) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1/3) (-.f64 1/6 (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 5)) 1/9) (-.f64 1/2 (.f64 1/3 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1/9))))) (.f64 1/27 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) 1/3)))))) (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 8)) 1/9) (-.f64 1/2 (.f64 1/3 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1/9))))))) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 5)) 1/9) (-.f64 1/2 (.f64 1/3 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1/9))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) 1/9) (+.f64 (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) 1/9)) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1/3) (-.f64 1/2 (.f64 1/3 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1/9)))))))) (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 1/6 (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 5)) 1/9) (-.f64 1/2 (.f64 1/3 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1/9))))) (.f64 1/27 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) 1/3))))))))) (+.f64 1 (exp.f64 b))))))))) (+.f64 (.f64 (pow.f64 1 1/3) (/.f64 (.f64 a (+.f64 (.f64 1/3 (pow.f64 (.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) 1/9)) (.f64 2/3 (pow.f64 (.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) 1/9)))) (+.f64 1 (exp.f64 b)))) (+.f64 (log.f64 (.f64 (pow.f64 1 1/3) (+.f64 1 (exp.f64 b)))) (.f64 1/2 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (.f64 (pow.f64 1 1/3) (/.f64 (pow.f64 (+.f64 (.f64 1/3 (pow.f64 (.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) 1/9)) (.f64 2/3 (pow.f64 (.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) 1/9))) 2) (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (.f64 2 (.f64 (pow.f64 1 1/3) (/.f64 (+.f64 (.f64 (pow.f64 (.f64 1 (+.f64 1 (exp.f64 b))) 1/3) (+.f64 (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) 1/9)) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1/3) (-.f64 1/2 (.f64 1/3 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1/9))))))) (+.f64 (.f64 2/9 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1/9)) (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 1/2 (*.f64 1/3 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1/9))))))) (+.f64 1 (exp.f64 b)))))))))))
(log.f64 (*.f64 (pow.f64 1 1/3) (+.f64 (exp.f64 a) (exp.f64 b))))
(log.f64 (*.f64 (pow.f64 1 1/3) (+.f64 (exp.f64 a) (exp.f64 b))))
(log.f64 (*.f64 (pow.f64 1 1/3) (+.f64 (exp.f64 a) (exp.f64 b))))
(log.f64 (*.f64 (pow.f64 1 1/3) (+.f64 (exp.f64 a) (exp.f64 b))))
(log.f64 (*.f64 (pow.f64 1 1/3) (+.f64 (exp.f64 a) (exp.f64 b))))
(log.f64 (*.f64 (pow.f64 1 1/3) (+.f64 (exp.f64 a) (exp.f64 b))))
(log.f64 (*.f64 (pow.f64 1 1/3) (+.f64 (exp.f64 a) (exp.f64 b))))
(log.f64 (*.f64 (pow.f64 1 1/3) (+.f64 (exp.f64 a) (exp.f64 b))))
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(neg.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (neg.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))))))
(sqrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 2))
(log.f64 (exp.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3))
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(exp.f64 (log1p.f64 (+.f64 (exp.f64 b) (expm1.f64 a))))
(log1p.f64 (expm1.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(fma.f64 1 (exp.f64 a) (exp.f64 b))
(fma.f64 1 (exp.f64 b) (exp.f64 a))
(fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) (exp.f64 b))
(fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)) (exp.f64 a))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (cbrt.f64 (exp.f64 a)) (exp.f64 b))
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 b) 2)) (cbrt.f64 (exp.f64 b)) (exp.f64 a))

Outputs
(log.f64 (*.f64 (pow.f64 1 1/3) (+.f64 1 (exp.f64 b))))
(log.f64 (+.f64 1 (exp.f64 b)))
(+.f64 (.f64 (pow.f64 1 1/3) (/.f64 (.f64 a (+.f64 (.f64 1/3 (pow.f64 (.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) 1/9)) (.f64 2/3 (pow.f64 (.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) 1/9)))) (+.f64 1 (exp.f64 b)))) (log.f64 (*.f64 (pow.f64 1 1/3) (+.f64 1 (exp.f64 b)))))
(fma.f64 1 (/.f64 (.f64 a (.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 4) 1/18) (pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 4) 1/18)) 1)) (+.f64 1 (exp.f64 b))) (log.f64 (+.f64 1 (exp.f64 b))))
(+.f64 (.f64 (pow.f64 1 1/3) (/.f64 (.f64 a (+.f64 (.f64 1/3 (pow.f64 (.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) 1/9)) (.f64 2/3 (pow.f64 (.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) 1/9)))) (+.f64 1 (exp.f64 b)))) (+.f64 (log.f64 (.f64 (pow.f64 1 1/3) (+.f64 1 (exp.f64 b)))) (.f64 1/2 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (.f64 (pow.f64 1 1/3) (/.f64 (pow.f64 (+.f64 (.f64 1/3 (pow.f64 (.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) 1/9)) (.f64 2/3 (pow.f64 (.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) 1/9))) 2) (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (.f64 2 (.f64 (pow.f64 1 1/3) (/.f64 (+.f64 (.f64 (pow.f64 (.f64 1 (+.f64 1 (exp.f64 b))) 1/3) (+.f64 (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) 1/9)) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1/3) (-.f64 1/2 (.f64 1/3 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1/9))))))) (+.f64 (.f64 2/9 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1/9)) (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 1/2 (*.f64 1/3 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1/9))))))) (+.f64 1 (exp.f64 b))))))))))
(+.f64 (fma.f64 1 (/.f64 (.f64 a (.f64 (.f64 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 4) 1/18) (pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 4) 1/18)) 1)) (+.f64 1 (exp.f64 b))) (log.f64 (+.f64 1 (exp.f64 b)))) (.f64 1/2 (.f64 (.f64 a a) (+.f64 (.f64 -1 (/.f64 (pow.f64 (.f64 (.f64 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 4) 1/18) (pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 4) 1/18)) 1) 2) (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (.f64 2 (/.f64 (fma.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) (fma.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) 1/18)) (.f64 2/3 (.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) (+.f64 1/2 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1/18) (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1/18))))))) (fma.f64 2/9 (.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1/18) (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1/18)) (.f64 1/3 (+.f64 1/2 (.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1/18) (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1/18))))))) (+.f64 1 (exp.f64 b))))))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 a 3) (+.f64 (.f64 -6 (.f64 (pow.f64 1 1/3) (/.f64 (.f64 (+.f64 (.f64 (pow.f64 (.f64 1 (+.f64 1 (exp.f64 b))) 1/3) (+.f64 (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) 1/9)) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1/3) (-.f64 1/2 (.f64 1/3 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1/9))))))) (+.f64 (.f64 2/9 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1/9)) (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 1/2 (.f64 1/3 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1/9))))))) (+.f64 (.f64 1/3 (pow.f64 (.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) 1/9)) (.f64 2/3 (pow.f64 (.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) 1/9)))) (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (+.f64 (.f64 2 (/.f64 (pow.f64 (+.f64 (.f64 1/3 (pow.f64 (.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) 1/9)) (.f64 2/3 (pow.f64 (.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) 1/9))) 3) (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (.f64 6 (.f64 (pow.f64 1 1/3) (/.f64 (+.f64 (.f64 (pow.f64 (.f64 1 (+.f64 1 (exp.f64 b))) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1/3) (-.f64 1/6 (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 5)) 1/9) (-.f64 1/2 (.f64 1/3 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1/9))))) (.f64 1/27 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) 1/3)))))) (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 8)) 1/9) (-.f64 1/2 (.f64 1/3 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1/9))))))) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 5)) 1/9) (-.f64 1/2 (.f64 1/3 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1/9))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) 1/9) (+.f64 (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) 1/9)) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1/3) (-.f64 1/2 (.f64 1/3 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1/9)))))))) (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 1/6 (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 5)) 1/9) (-.f64 1/2 (.f64 1/3 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1/9))))) (.f64 1/27 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) 1/3))))))))) (+.f64 1 (exp.f64 b))))))))) (+.f64 (.f64 (pow.f64 1 1/3) (/.f64 (.f64 a (+.f64 (.f64 1/3 (pow.f64 (.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) 1/9)) (.f64 2/3 (pow.f64 (.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) 1/9)))) (+.f64 1 (exp.f64 b)))) (+.f64 (log.f64 (.f64 (pow.f64 1 1/3) (+.f64 1 (exp.f64 b)))) (.f64 1/2 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (.f64 (pow.f64 1 1/3) (/.f64 (pow.f64 (+.f64 (.f64 1/3 (pow.f64 (.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) 1/9)) (.f64 2/3 (pow.f64 (.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) 1/9))) 2) (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (.f64 2 (.f64 (pow.f64 1 1/3) (/.f64 (+.f64 (.f64 (pow.f64 (.f64 1 (+.f64 1 (exp.f64 b))) 1/3) (+.f64 (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) 1/9)) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1/3) (-.f64 1/2 (.f64 1/3 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1/9))))))) (+.f64 (.f64 2/9 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1/9)) (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 1/2 (*.f64 1/3 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1/9))))))) (+.f64 1 (exp.f64 b)))))))))))
(fma.f64 1/6 (.f64 (pow.f64 a 3) (+.f64 (.f64 -6 (/.f64 (fma.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) (fma.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) 1/18)) (.f64 2/3 (.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) (+.f64 1/2 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1/18) (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1/18))))))) (fma.f64 2/9 (.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1/18) (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1/18)) (.f64 1/3 (+.f64 1/2 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1/18) (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1/18))))))) (/.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2) (.f64 (.f64 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 4) 1/18) (pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 4) 1/18)) 1)))) (fma.f64 2 (/.f64 (pow.f64 (.f64 (.f64 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 4) 1/18) (pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 4) 1/18)) 1) 3) (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (.f64 6 (/.f64 (fma.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) (fma.f64 2/3 (.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) (-.f64 1/6 (fma.f64 2/3 (.f64 (+.f64 1/2 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1/18) (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1/18)))) (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 5)) 1/18))) (.f64 1/27 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))))) (.f64 2/9 (.f64 (+.f64 1/2 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1/18) (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1/18)))) (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 8)) 1/18))))) (fma.f64 2/9 (.f64 (+.f64 1/2 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1/18) (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1/18)))) (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 5)) 1/18))) (fma.f64 1/3 (.f64 (fma.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) 1/18)) (.f64 2/3 (.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) (+.f64 1/2 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1/18) (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1/18))))))) (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) 1/18))) (.f64 1/3 (-.f64 1/6 (fma.f64 2/3 (.f64 (+.f64 1/2 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1/18) (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1/18)))) (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 5)) 1/18))) (.f64 1/27 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))))))) (+.f64 1 (exp.f64 b))))))) (+.f64 (fma.f64 1 (/.f64 (.f64 a (.f64 (.f64 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 4) 1/18) (pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 4) 1/18)) 1)) (+.f64 1 (exp.f64 b))) (log.f64 (+.f64 1 (exp.f64 b)))) (.f64 1/2 (.f64 (.f64 a a) (+.f64 (.f64 -1 (/.f64 (pow.f64 (.f64 (.f64 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 4) 1/18) (pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 4) 1/18)) 1) 2) (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (.f64 2 (/.f64 (fma.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) (fma.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) 1/18)) (.f64 2/3 (.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) (+.f64 1/2 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1/18) (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1/18))))))) (fma.f64 2/9 (.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1/18) (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1/18)) (.f64 1/3 (+.f64 1/2 (.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1/18) (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1/18))))))) (+.f64 1 (exp.f64 b)))))))))
(log.f64 (*.f64 (pow.f64 1 1/3) (+.f64 (exp.f64 a) (exp.f64 b))))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (*.f64 (pow.f64 1 1/3) (+.f64 (exp.f64 a) (exp.f64 b))))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (*.f64 (pow.f64 1 1/3) (+.f64 (exp.f64 a) (exp.f64 b))))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (*.f64 (pow.f64 1 1/3) (+.f64 (exp.f64 a) (exp.f64 b))))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (*.f64 (pow.f64 1 1/3) (+.f64 (exp.f64 a) (exp.f64 b))))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (*.f64 (pow.f64 1 1/3) (+.f64 (exp.f64 a) (exp.f64 b))))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (*.f64 (pow.f64 1 1/3) (+.f64 (exp.f64 a) (exp.f64 b))))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (*.f64 (pow.f64 1 1/3) (+.f64 (exp.f64 a) (exp.f64 b))))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (*.f64 (+.f64 1 (exp.f64 a)) (pow.f64 1 1/3)))
(log.f64 (+.f64 1 (exp.f64 b)))
(+.f64 (log.f64 (.f64 (+.f64 1 (exp.f64 a)) (pow.f64 1 1/3))) (.f64 (/.f64 (.f64 (+.f64 (.f64 1/3 (pow.f64 (.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 4) 1) 1/9)) (.f64 2/3 (pow.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 4) 1) 1/9))) b) (+.f64 1 (exp.f64 a))) (pow.f64 1 1/3)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (.f64 1 (/.f64 (.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 4) 1/18) (pow.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 4) 1/18)) 1) (/.f64 (+.f64 1 (exp.f64 a)) b))))
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(log.f64 (+.f64 1 (exp.f64 b)))
(fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)) (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 b)))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (cbrt.f64 (exp.f64 a)) (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 b) 2)) (cbrt.f64 (exp.f64 b)) (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 b)))

eval352.0ms (2%)

Compiler: Compiled 21678 to 13253 computations (38.9% saved)

prune147.0ms (0.9%)

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	776	9	785
Fresh	1	3	4
Picked	1	0	1
Done	1	3	4
Total	779	15	794

Error

0.8b

Counts

794 → 15

Alt Table

Click to see full alt table

Status	Error	Program
	30.6b	(-.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 1)
	30.7b	(+.f64 (*.f64 1/2 b) (log.f64 2))
▶	31.1b	(+.f64 (*.f64 1/2 a) (log.f64 2))
▶	1.7b	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
	2.3b	(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (.f64 1 (/.f64 (.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 4) 1/18) (pow.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 4) 1/18)) 1) (/.f64 (+.f64 1 (exp.f64 a)) b))))
	63.0b	(+.f64 (log.f64 1/2) (*.f64 -2 (log.f64 (/.f64 -1 b))))
✓	1.3b	(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
	30.1b	(log1p.f64 (exp.f64 b))
✓	29.4b	(log1p.f64 (exp.f64 a))
▶	30.7b	(log.f64 (+.f64 (+.f64 2 b) (.f64 1/2 (.f64 b b))))
	28.8b	(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
▶	30.1b	(log.f64 (+.f64 2 (expm1.f64 b)))
	30.8b	(log.f64 (+.f64 2 b))
✓	28.7b	(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b))))))
▶	31.1b	(log.f64 2)

Compiler

Compiled 282 to 227 computations (19.5% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(log1p.f64 (exp.f64 a))
✓	0.0b	(+.f64 1 (exp.f64 a))
✓	0.0b	(/.f64 b (+.f64 1 (exp.f64 a)))
✓	0.0b	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))

Compiler

Compiled 30 to 14 computations (53.3% saved)

series8.0ms (0%)

Counts

3 → 32

Calls

15 calls:

Time	Variable		Point	Expression
3.0ms	b	@	0	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
1.0ms	a	@	0	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
1.0ms	a	@	inf	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
1.0ms	a	@	-inf	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
1.0ms	b	@	inf	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))

rewrite90.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1560×	`associate-*r/`
1070×	`*-commutative`
990×	`associate-*l/`
920×	`associate-/r*`
678×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	59
1	229	59
2	3055	59

Stop Event

1×	node limit

Counts

3 → 218

Calls

Call 1

Inputs
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 1 (exp.f64 a))

Outputs

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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2) (pow.f64 (log1p.f64 (exp.f64 a)) 2))) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)))) (neg.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 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1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 2 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (exp.f64 (+.f64 a a))) (cbrt.f64 (exp.f64 a)) 1)))))

simplify137.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1296×	`associate-+r+`
1052×	`+-commutative`
646×	`associate-r`
582×	`associate-/l*`
516×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	591	12310
1	1610	11712
2	7149	11562

Stop Event

1×	node limit

Counts

250 → 348

Calls

Call 1

Inputs
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (.f64 1/2 b) (+.f64 (.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (.f64 1/8 b) (.f64 -1/8 b)))) (log.f64 2))))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (.f64 1/2 b) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (.f64 1/24 b) (+.f64 (.f64 -1/16 b) (.f64 -1/2 (+.f64 (.f64 1/8 b) (.f64 -1/8 b))))))) (+.f64 (.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(log.f64 (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(*.f64 1/2 b)
(+.f64 (.f64 1/2 b) (.f64 -1/4 (*.f64 a b)))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/8 b) (.f64 -1/8 b)))) (.f64 -1/4 (*.f64 a b))))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (.f64 -1/16 b) (+.f64 (.f64 1/24 b) (.f64 -1/2 (+.f64 (.f64 1/8 b) (.f64 -1/8 b))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/8 b) (.f64 -1/8 b)))) (.f64 -1/4 (.f64 a b)))))
2
(+.f64 2 a)
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a))
(+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (.f64 1/6 (pow.f64 a 3)))))
(-.f64 (log.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))) (-.f64 (log.f64 (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a))) (/.f64 b (+.f64 (exp.f64 a) 1))))
(-.f64 (log.f64 (-.f64 1 (exp.f64 (+.f64 a a)))) (-.f64 (log.f64 (-.f64 1 (exp.f64 a))) (/.f64 b (+.f64 (exp.f64 a) 1))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 a)))) (-.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))) (-.f64 1 (log1p.f64 (exp.f64 a))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) 1)
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) (/.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(-.f64 (+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))) 1)
(-.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)))) (log.f64 (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a))))
(-.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log.f64 (-.f64 1 (exp.f64 (+.f64 a a))))) (log.f64 (-.f64 1 (exp.f64 a))))
(-.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 a))))) 1)
(*.f64 1 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))
(*.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 1)
(*.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(*.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 2) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)) (/.f64 1 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))
(*.f64 (/.f64 1 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)))
(.f64 (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)))
(*.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2))) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))
(.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (+.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2) (.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))
(.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)) (-.f64 (.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (.f64 (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))) (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))))
(.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)) (+.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) 3) (pow.f64 (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))) 3))) (-.f64 (+.f64 (.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (.f64 (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))) (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))) (.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))
(/.f64 1 (/.f64 1 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(/.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) (/.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))) (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2))) (/.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3))) (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2))) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)))) (/.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)))) (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)))))
(/.f64 (-.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2))) (neg.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2) (pow.f64 (log1p.f64 (exp.f64 a)) 2))) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)))) (neg.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(/.f64 (.f64 1 (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))
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(log1p.f64 (expm1.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))
(-.f64 (+.f64 (exp.f64 a) 1) 0)
(-.f64 (exp.f64 (log.f64 (+.f64 2 (exp.f64 a)))) 1)
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 a))) (/.f64 (exp.f64 (+.f64 a a)) (-.f64 1 (exp.f64 a))))
(-.f64 (+.f64 2 (exp.f64 a)) 1)
(*.f64 1 (+.f64 (exp.f64 a) 1))
(*.f64 (+.f64 (exp.f64 a) 1) 1)
(*.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)) (sqrt.f64 (+.f64 (exp.f64 a) 1)))
(*.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2) (cbrt.f64 (+.f64 (exp.f64 a) 1)))
(*.f64 (-.f64 1 (exp.f64 (+.f64 a a))) (/.f64 1 (-.f64 1 (exp.f64 a))))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (/.f64 1 (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a))))
(*.f64 (/.f64 1 (-.f64 1 (exp.f64 a))) (-.f64 1 (exp.f64 (+.f64 a a))))
(*.f64 (/.f64 1 (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a))) (+.f64 1 (pow.f64 (exp.f64 a) 3)))
(*.f64 (/.f64 (-.f64 1 (exp.f64 (+.f64 a a))) (-.f64 1 (exp.f64 (+.f64 a a)))) (+.f64 (exp.f64 a) 1))
(*.f64 (/.f64 (-.f64 1 (exp.f64 (+.f64 a a))) (-.f64 1 (pow.f64 (exp.f64 a) 3))) (+.f64 1 (+.f64 (exp.f64 a) (exp.f64 (+.f64 a a)))))
(.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (-.f64 1 (.f64 (.f64 (exp.f64 a) (expm1.f64 a)) (.f64 (exp.f64 a) (expm1.f64 a))))) (-.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))))
(.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (+.f64 1 (pow.f64 (.f64 (exp.f64 a) (expm1.f64 a)) 3))) (-.f64 (+.f64 1 (.f64 (.f64 (exp.f64 a) (expm1.f64 a)) (.f64 (exp.f64 a) (expm1.f64 a)))) (.f64 (exp.f64 a) (expm1.f64 a))))
(/.f64 1 (/.f64 1 (+.f64 (exp.f64 a) 1)))
(/.f64 (+.f64 (exp.f64 a) 1) 1)
(/.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)) (/.f64 1 (sqrt.f64 (+.f64 (exp.f64 a) 1))))
(/.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2) (/.f64 1 (cbrt.f64 (+.f64 (exp.f64 a) 1))))
(/.f64 (-.f64 1 (exp.f64 (+.f64 a a))) (-.f64 1 (exp.f64 a)))
(/.f64 (-.f64 1 (exp.f64 (+.f64 a a))) (/.f64 1 (/.f64 1 (-.f64 1 (exp.f64 a)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a)))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (/.f64 1 (/.f64 1 (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a)))))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))) (/.f64 (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a)) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)))))
(/.f64 (sqrt.f64 (-.f64 1 (exp.f64 (+.f64 a a)))) (/.f64 (-.f64 1 (exp.f64 a)) (sqrt.f64 (-.f64 1 (exp.f64 (+.f64 a a))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)))) (/.f64 (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a)) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (exp.f64 (+.f64 a a)))) (cbrt.f64 (-.f64 1 (exp.f64 (+.f64 a a))))) (/.f64 (-.f64 1 (exp.f64 a)) (cbrt.f64 (-.f64 1 (exp.f64 (+.f64 a a))))))
(/.f64 (neg.f64 (-.f64 1 (exp.f64 (+.f64 a a)))) (neg.f64 (-.f64 1 (exp.f64 a))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))) (neg.f64 (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a))))
(/.f64 (-.f64 (exp.f64 (+.f64 a a)) 1) (expm1.f64 a))
(/.f64 (*.f64 1 (neg.f64 (-.f64 1 (exp.f64 (+.f64 a a))))) (neg.f64 (-.f64 1 (exp.f64 a))))
(/.f64 (*.f64 1 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)))) (neg.f64 (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a))))
(/.f64 (*.f64 1 (-.f64 (exp.f64 (+.f64 a a)) 1)) (expm1.f64 a))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)))) (sqrt.f64 (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)) (sqrt.f64 (-.f64 1 (exp.f64 (+.f64 a a))))) (sqrt.f64 (-.f64 1 (exp.f64 a))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)))) (cbrt.f64 (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2) (cbrt.f64 (-.f64 1 (exp.f64 (+.f64 a a))))) (cbrt.f64 (-.f64 1 (exp.f64 a))))
(/.f64 (*.f64 (neg.f64 (-.f64 1 (exp.f64 (+.f64 a a)))) 1) (neg.f64 (-.f64 1 (exp.f64 a))))
(/.f64 (*.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))) 1) (neg.f64 (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a))))
(/.f64 (*.f64 (-.f64 (exp.f64 (+.f64 a a)) 1) 1) (expm1.f64 a))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))) (sqrt.f64 (+.f64 (exp.f64 a) 1))) (sqrt.f64 (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (exp.f64 (+.f64 a a)))) (sqrt.f64 (+.f64 (exp.f64 a) 1))) (sqrt.f64 (-.f64 1 (exp.f64 a))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (cbrt.f64 (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (exp.f64 (+.f64 a a)))) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (cbrt.f64 (-.f64 1 (exp.f64 a))))
(/.f64 (.f64 (-.f64 1 (.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a a)))) (/.f64 1 (-.f64 1 (exp.f64 a)))) (+.f64 1 (exp.f64 (+.f64 a a))))
(/.f64 (.f64 (-.f64 1 (pow.f64 (exp.f64 (+.f64 a a)) 3)) (/.f64 1 (-.f64 1 (exp.f64 a)))) (+.f64 1 (+.f64 (exp.f64 (+.f64 a a)) (.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a a))))))
(/.f64 (.f64 (-.f64 1 (.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 a) 3))) (/.f64 1 (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a)))) (-.f64 1 (pow.f64 (exp.f64 a) 3)))
(/.f64 (.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 a) 3) 3)) (/.f64 1 (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a)))) (+.f64 1 (-.f64 (.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 a) 3)) (pow.f64 (exp.f64 a) 3))))
(/.f64 (/.f64 (-.f64 1 (exp.f64 (+.f64 a a))) 1) (-.f64 1 (exp.f64 a)))
(/.f64 (/.f64 (-.f64 1 (exp.f64 (+.f64 a a))) (sqrt.f64 (-.f64 1 (exp.f64 a)))) (sqrt.f64 (-.f64 1 (exp.f64 a))))
(/.f64 (/.f64 (-.f64 1 (exp.f64 (+.f64 a a))) (*.f64 (cbrt.f64 (-.f64 1 (exp.f64 a))) (cbrt.f64 (-.f64 1 (exp.f64 a))))) (cbrt.f64 (-.f64 1 (exp.f64 a))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) 1) (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a)))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (sqrt.f64 (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a)))) (sqrt.f64 (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (*.f64 (cbrt.f64 (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a))) (cbrt.f64 (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a))))) (cbrt.f64 (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a))))
(/.f64 (/.f64 (-.f64 (exp.f64 (+.f64 a a)) 1) 1) (expm1.f64 a))
(/.f64 (/.f64 (-.f64 (exp.f64 (+.f64 a a)) 1) (sqrt.f64 (expm1.f64 a))) (sqrt.f64 (expm1.f64 a)))
(/.f64 (/.f64 (-.f64 (exp.f64 (+.f64 a a)) 1) (*.f64 (cbrt.f64 (expm1.f64 a)) (cbrt.f64 (expm1.f64 a)))) (cbrt.f64 (expm1.f64 a)))
(pow.f64 (+.f64 (exp.f64 a) 1) 1)
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)) 2)
(pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 3)
(pow.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 3) 1/3)
(pow.f64 (E.f64) (log1p.f64 (exp.f64 a)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 a))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 a)))) (sqrt.f64 (log1p.f64 (exp.f64 a))))
(sqrt.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 2))
(log.f64 (exp.f64 (+.f64 (exp.f64 a) 1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (exp.f64 a) 1))))
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 3))
(expm1.f64 (log.f64 (+.f64 2 (exp.f64 a))))
(exp.f64 (log1p.f64 (exp.f64 a)))
(log1p.f64 (expm1.f64 (+.f64 (exp.f64 a) 1)))
(fma.f64 1 (exp.f64 a) 1)
(fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) 1)
(fma.f64 (cbrt.f64 (exp.f64 (+.f64 a a))) (cbrt.f64 (exp.f64 a)) 1)

Outputs
(+.f64 (*.f64 1/2 b) (log.f64 2))
(fma.f64 1/2 b (log.f64 2))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(fma.f64 (+.f64 1/2 (*.f64 -1/4 b)) a (fma.f64 1/2 b (log.f64 2)))
(fma.f64 (+.f64 1/2 (*.f64 b -1/4)) a (fma.f64 1/2 b (log.f64 2)))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (.f64 1/2 b) (+.f64 (.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (.f64 1/8 b) (.f64 -1/8 b)))) (log.f64 2))))
(fma.f64 (+.f64 1/2 (.f64 -1/4 b)) a (fma.f64 1/2 b (fma.f64 (.f64 a a) (-.f64 1/8 (*.f64 b 0)) (log.f64 2))))
(fma.f64 (+.f64 1/2 (.f64 b -1/4)) a (fma.f64 1/2 b (fma.f64 (.f64 a a) 1/8 (log.f64 2))))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (.f64 1/2 b) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (.f64 1/24 b) (+.f64 (.f64 -1/16 b) (.f64 -1/2 (+.f64 (.f64 1/8 b) (.f64 -1/8 b))))))) (+.f64 (.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2)))))
(fma.f64 (+.f64 1/2 (.f64 -1/4 b)) a (fma.f64 1/2 b (fma.f64 -1 (.f64 (pow.f64 a 3) (fma.f64 1/24 b (fma.f64 -1/16 b (.f64 (.f64 b 0) -1/2)))) (fma.f64 (.f64 a a) (-.f64 1/8 (.f64 b 0)) (log.f64 2)))))
(fma.f64 (+.f64 1/2 (.f64 b -1/4)) a (fma.f64 1/2 b (fma.f64 (neg.f64 (pow.f64 a 3)) (+.f64 0 (.f64 b -1/48)) (fma.f64 (*.f64 a a) 1/8 (log.f64 2)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(*.f64 1/2 b)
(+.f64 (.f64 1/2 b) (.f64 -1/4 (*.f64 a b)))
(fma.f64 1/2 b (.f64 -1/4 (.f64 b a)))
(.f64 b (+.f64 1/2 (.f64 a -1/4)))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/8 b) (.f64 -1/8 b)))) (.f64 -1/4 (*.f64 a b))))
(fma.f64 1/2 b (fma.f64 -1 (.f64 (.f64 a a) (.f64 b 0)) (.f64 -1/4 (*.f64 b a))))
(fma.f64 1/2 b (fma.f64 -1/4 (.f64 b a) (.f64 a (*.f64 a 0))))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (.f64 -1/16 b) (+.f64 (.f64 1/24 b) (.f64 -1/2 (+.f64 (.f64 1/8 b) (.f64 -1/8 b))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/8 b) (.f64 -1/8 b)))) (.f64 -1/4 (.f64 a b)))))
(fma.f64 1/2 b (fma.f64 -1 (.f64 (pow.f64 a 3) (fma.f64 -1/16 b (fma.f64 1/24 b (.f64 (.f64 b 0) -1/2)))) (fma.f64 -1 (.f64 (.f64 a a) (.f64 b 0)) (.f64 -1/4 (.f64 b a)))))
(fma.f64 1/2 b (-.f64 (fma.f64 -1/4 (.f64 b a) (.f64 a (.f64 a 0))) (.f64 (pow.f64 a 3) (+.f64 0 (*.f64 b -1/48)))))
2
(+.f64 2 a)
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a))
(fma.f64 1/2 (*.f64 a a) (+.f64 2 a))
(+.f64 (.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (.f64 1/6 (pow.f64 a 3)))))
(fma.f64 1/2 (.f64 a a) (+.f64 2 (+.f64 a (.f64 (pow.f64 a 3) 1/6))))
(+.f64 (fma.f64 (pow.f64 a 3) 1/6 a) (fma.f64 1/2 (*.f64 a a) 2))
(-.f64 (log.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))) (-.f64 (log.f64 (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a))) (/.f64 b (+.f64 (exp.f64 a) 1))))
(+.f64 (-.f64 (log1p.f64 (pow.f64 (exp.f64 a) 3)) (log.f64 (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a)))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (pow.f64 (exp.f64 a) 3)) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log.f64 (-.f64 (pow.f64 (exp.f64 2) a) (expm1.f64 a)))))
(-.f64 (log.f64 (-.f64 1 (exp.f64 (+.f64 a a)))) (-.f64 (log.f64 (-.f64 1 (exp.f64 a))) (/.f64 b (+.f64 (exp.f64 a) 1))))
(+.f64 (-.f64 (log.f64 (-.f64 1 (exp.f64 (+.f64 a a)))) (log.f64 (-.f64 1 (exp.f64 a)))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (-.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 2) a))) (log1p.f64 (neg.f64 (exp.f64 a)))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 a)))) (-.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1))))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 a)))) 1) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 a)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))) (-.f64 1 (log1p.f64 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) 1)
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) (/.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
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(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))) (/.f64 (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a)) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)))))
(*.f64 (hypot.f64 1 (pow.f64 (exp.f64 a) 3/2)) (/.f64 (hypot.f64 1 (pow.f64 (exp.f64 a) 3/2)) (-.f64 (pow.f64 (exp.f64 2) a) (expm1.f64 a))))
(/.f64 (sqrt.f64 (-.f64 1 (exp.f64 (+.f64 a a)))) (/.f64 (-.f64 1 (exp.f64 a)) (sqrt.f64 (-.f64 1 (exp.f64 (+.f64 a a))))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (exp.f64 (+.f64 a a)))) (-.f64 1 (exp.f64 a))) (sqrt.f64 (-.f64 1 (exp.f64 (+.f64 a a)))))
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 2) a))) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 2) a))) (-.f64 1 (exp.f64 a))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)))) (/.f64 (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a)) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)))))
(.f64 (/.f64 (.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)))) (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))))
(.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))) (/.f64 (.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)))) (-.f64 (pow.f64 (exp.f64 2) a) (expm1.f64 a))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (exp.f64 (+.f64 a a)))) (cbrt.f64 (-.f64 1 (exp.f64 (+.f64 a a))))) (/.f64 (-.f64 1 (exp.f64 a)) (cbrt.f64 (-.f64 1 (exp.f64 (+.f64 a a))))))
(/.f64 (cbrt.f64 (-.f64 1 (exp.f64 (+.f64 a a)))) (/.f64 (/.f64 (-.f64 1 (exp.f64 a)) (cbrt.f64 (-.f64 1 (exp.f64 (+.f64 a a))))) (cbrt.f64 (-.f64 1 (exp.f64 (+.f64 a a))))))
(*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 2) a))) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 2) a))) (/.f64 (-.f64 1 (exp.f64 a)) (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 2) a))))))
(/.f64 (neg.f64 (-.f64 1 (exp.f64 (+.f64 a a)))) (neg.f64 (-.f64 1 (exp.f64 a))))
(/.f64 (-.f64 1 (exp.f64 (+.f64 a a))) (-.f64 1 (exp.f64 a)))
(/.f64 (expm1.f64 (+.f64 a a)) (+.f64 -1 (exp.f64 a)))
(/.f64 (expm1.f64 (+.f64 a a)) (expm1.f64 a))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))) (neg.f64 (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a)))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (-.f64 (pow.f64 (exp.f64 2) a) (expm1.f64 a)))
(/.f64 (-.f64 (exp.f64 (+.f64 a a)) 1) (expm1.f64 a))
(/.f64 (-.f64 1 (exp.f64 (+.f64 a a))) (-.f64 1 (exp.f64 a)))
(/.f64 (expm1.f64 (+.f64 a a)) (+.f64 -1 (exp.f64 a)))
(/.f64 (expm1.f64 (+.f64 a a)) (expm1.f64 a))
(/.f64 (*.f64 1 (neg.f64 (-.f64 1 (exp.f64 (+.f64 a a))))) (neg.f64 (-.f64 1 (exp.f64 a))))
(/.f64 (-.f64 1 (exp.f64 (+.f64 a a))) (-.f64 1 (exp.f64 a)))
(/.f64 (expm1.f64 (+.f64 a a)) (+.f64 -1 (exp.f64 a)))
(/.f64 (expm1.f64 (+.f64 a a)) (expm1.f64 a))
(/.f64 (*.f64 1 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)))) (neg.f64 (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a)))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (-.f64 (pow.f64 (exp.f64 2) a) (expm1.f64 a)))
(/.f64 (*.f64 1 (-.f64 (exp.f64 (+.f64 a a)) 1)) (expm1.f64 a))
(/.f64 (-.f64 1 (exp.f64 (+.f64 a a))) (-.f64 1 (exp.f64 a)))
(/.f64 (expm1.f64 (+.f64 a a)) (+.f64 -1 (exp.f64 a)))
(/.f64 (expm1.f64 (+.f64 a a)) (expm1.f64 a))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)))) (sqrt.f64 (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a))))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))) (/.f64 (sqrt.f64 (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a))) (sqrt.f64 (+.f64 1 (exp.f64 a)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))) (hypot.f64 1 (pow.f64 (exp.f64 a) 3/2))) (sqrt.f64 (-.f64 (pow.f64 (exp.f64 2) a) (expm1.f64 a))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)) (sqrt.f64 (-.f64 1 (exp.f64 (+.f64 a a))))) (sqrt.f64 (-.f64 1 (exp.f64 a))))
(/.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))) (/.f64 (sqrt.f64 (-.f64 1 (exp.f64 a))) (sqrt.f64 (-.f64 1 (exp.f64 (+.f64 a a))))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))) (sqrt.f64 (-.f64 1 (exp.f64 a)))) (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 2) a))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)))) (cbrt.f64 (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)))) (cbrt.f64 (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 2) a) (expm1.f64 a)))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2) (cbrt.f64 (-.f64 1 (exp.f64 (+.f64 a a))))) (cbrt.f64 (-.f64 1 (exp.f64 a))))
(/.f64 (cbrt.f64 (-.f64 1 (exp.f64 (+.f64 a a)))) (/.f64 (cbrt.f64 (-.f64 1 (exp.f64 a))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)))
(/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 2) a))) (/.f64 (cbrt.f64 (-.f64 1 (exp.f64 a))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)))
(/.f64 (*.f64 (neg.f64 (-.f64 1 (exp.f64 (+.f64 a a)))) 1) (neg.f64 (-.f64 1 (exp.f64 a))))
(/.f64 (-.f64 1 (exp.f64 (+.f64 a a))) (-.f64 1 (exp.f64 a)))
(/.f64 (expm1.f64 (+.f64 a a)) (+.f64 -1 (exp.f64 a)))
(/.f64 (expm1.f64 (+.f64 a a)) (expm1.f64 a))
(/.f64 (*.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))) 1) (neg.f64 (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a)))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (-.f64 (pow.f64 (exp.f64 2) a) (expm1.f64 a)))
(/.f64 (*.f64 (-.f64 (exp.f64 (+.f64 a a)) 1) 1) (expm1.f64 a))
(/.f64 (-.f64 1 (exp.f64 (+.f64 a a))) (-.f64 1 (exp.f64 a)))
(/.f64 (expm1.f64 (+.f64 a a)) (+.f64 -1 (exp.f64 a)))
(/.f64 (expm1.f64 (+.f64 a a)) (expm1.f64 a))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))) (sqrt.f64 (+.f64 (exp.f64 a) 1))) (sqrt.f64 (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a))))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))) (/.f64 (sqrt.f64 (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a))) (sqrt.f64 (+.f64 1 (exp.f64 a)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))) (hypot.f64 1 (pow.f64 (exp.f64 a) 3/2))) (sqrt.f64 (-.f64 (pow.f64 (exp.f64 2) a) (expm1.f64 a))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (exp.f64 (+.f64 a a)))) (sqrt.f64 (+.f64 (exp.f64 a) 1))) (sqrt.f64 (-.f64 1 (exp.f64 a))))
(/.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))) (/.f64 (sqrt.f64 (-.f64 1 (exp.f64 a))) (sqrt.f64 (-.f64 1 (exp.f64 (+.f64 a a))))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))) (sqrt.f64 (-.f64 1 (exp.f64 a)))) (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 2) a))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (cbrt.f64 (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)))) (cbrt.f64 (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 2) a) (expm1.f64 a)))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (exp.f64 (+.f64 a a)))) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (cbrt.f64 (-.f64 1 (exp.f64 a))))
(/.f64 (cbrt.f64 (-.f64 1 (exp.f64 (+.f64 a a)))) (/.f64 (cbrt.f64 (-.f64 1 (exp.f64 a))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)))
(/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 2) a))) (/.f64 (cbrt.f64 (-.f64 1 (exp.f64 a))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)))
(/.f64 (.f64 (-.f64 1 (.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a a)))) (/.f64 1 (-.f64 1 (exp.f64 a)))) (+.f64 1 (exp.f64 (+.f64 a a))))
(/.f64 (-.f64 1 (exp.f64 (+.f64 (+.f64 a a) (+.f64 a a)))) (/.f64 (+.f64 1 (exp.f64 (+.f64 a a))) (/.f64 1 (-.f64 1 (exp.f64 a)))))
(/.f64 (-.f64 1 (exp.f64 (.f64 a 4))) (.f64 (fma.f64 (exp.f64 a) (exp.f64 a) 1) (-.f64 1 (exp.f64 a))))
(/.f64 (.f64 (-.f64 1 (pow.f64 (exp.f64 (+.f64 a a)) 3)) (/.f64 1 (-.f64 1 (exp.f64 a)))) (+.f64 1 (+.f64 (exp.f64 (+.f64 a a)) (.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a a))))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 (+.f64 a a)) 3)) (/.f64 (+.f64 1 (*.f64 (+.f64 1 (exp.f64 (+.f64 a a))) (exp.f64 (+.f64 a a)))) (/.f64 1 (-.f64 1 (exp.f64 a)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (exp.f64 a) 6)) (-.f64 1 (exp.f64 a))) (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) a) (exp.f64 (*.f64 a 4)))))
(/.f64 (.f64 (-.f64 1 (.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 a) 3))) (/.f64 1 (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a)))) (-.f64 1 (pow.f64 (exp.f64 a) 3)))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 a) 6)) (/.f64 (-.f64 1 (pow.f64 (exp.f64 a) 3)) (/.f64 1 (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a)))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 a) 6)) (*.f64 (-.f64 1 (pow.f64 (exp.f64 a) 3)) (-.f64 (pow.f64 (exp.f64 2) a) (expm1.f64 a))))
(/.f64 (.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 a) 3) 3)) (/.f64 1 (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a)))) (+.f64 1 (-.f64 (.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 a) 3)) (pow.f64 (exp.f64 a) 3))))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 a) 3) 3)) (/.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 a) 6) (pow.f64 (exp.f64 a) 3))) (/.f64 1 (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a)))))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 a) 3) 3)) (*.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 a) 6) (pow.f64 (exp.f64 a) 3))) (-.f64 (pow.f64 (exp.f64 2) a) (expm1.f64 a))))
(/.f64 (/.f64 (-.f64 1 (exp.f64 (+.f64 a a))) 1) (-.f64 1 (exp.f64 a)))
(/.f64 (-.f64 1 (exp.f64 (+.f64 a a))) (-.f64 1 (exp.f64 a)))
(/.f64 (expm1.f64 (+.f64 a a)) (+.f64 -1 (exp.f64 a)))
(/.f64 (expm1.f64 (+.f64 a a)) (expm1.f64 a))
(/.f64 (/.f64 (-.f64 1 (exp.f64 (+.f64 a a))) (sqrt.f64 (-.f64 1 (exp.f64 a)))) (sqrt.f64 (-.f64 1 (exp.f64 a))))
(/.f64 (-.f64 1 (exp.f64 (+.f64 a a))) (-.f64 1 (exp.f64 a)))
(/.f64 (expm1.f64 (+.f64 a a)) (+.f64 -1 (exp.f64 a)))
(/.f64 (expm1.f64 (+.f64 a a)) (expm1.f64 a))
(/.f64 (/.f64 (-.f64 1 (exp.f64 (+.f64 a a))) (*.f64 (cbrt.f64 (-.f64 1 (exp.f64 a))) (cbrt.f64 (-.f64 1 (exp.f64 a))))) (cbrt.f64 (-.f64 1 (exp.f64 a))))
(/.f64 (-.f64 1 (exp.f64 (+.f64 a a))) (-.f64 1 (exp.f64 a)))
(/.f64 (expm1.f64 (+.f64 a a)) (+.f64 -1 (exp.f64 a)))
(/.f64 (expm1.f64 (+.f64 a a)) (expm1.f64 a))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) 1) (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a)))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a)))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (-.f64 (pow.f64 (exp.f64 2) a) (expm1.f64 a)))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (sqrt.f64 (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a)))) (sqrt.f64 (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a)))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (-.f64 (pow.f64 (exp.f64 2) a) (expm1.f64 a)))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (*.f64 (cbrt.f64 (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a))) (cbrt.f64 (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a))))) (cbrt.f64 (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a)))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (-.f64 (pow.f64 (exp.f64 2) a) (expm1.f64 a)))
(/.f64 (/.f64 (-.f64 (exp.f64 (+.f64 a a)) 1) 1) (expm1.f64 a))
(/.f64 (-.f64 1 (exp.f64 (+.f64 a a))) (-.f64 1 (exp.f64 a)))
(/.f64 (expm1.f64 (+.f64 a a)) (+.f64 -1 (exp.f64 a)))
(/.f64 (expm1.f64 (+.f64 a a)) (expm1.f64 a))
(/.f64 (/.f64 (-.f64 (exp.f64 (+.f64 a a)) 1) (sqrt.f64 (expm1.f64 a))) (sqrt.f64 (expm1.f64 a)))
(/.f64 (-.f64 1 (exp.f64 (+.f64 a a))) (-.f64 1 (exp.f64 a)))
(/.f64 (expm1.f64 (+.f64 a a)) (+.f64 -1 (exp.f64 a)))
(/.f64 (expm1.f64 (+.f64 a a)) (expm1.f64 a))
(/.f64 (/.f64 (-.f64 (exp.f64 (+.f64 a a)) 1) (*.f64 (cbrt.f64 (expm1.f64 a)) (cbrt.f64 (expm1.f64 a)))) (cbrt.f64 (expm1.f64 a)))
(/.f64 (-.f64 1 (exp.f64 (+.f64 a a))) (-.f64 1 (exp.f64 a)))
(/.f64 (expm1.f64 (+.f64 a a)) (+.f64 -1 (exp.f64 a)))
(/.f64 (expm1.f64 (+.f64 a a)) (expm1.f64 a))
(pow.f64 (+.f64 (exp.f64 a) 1) 1)
(+.f64 1 (exp.f64 a))
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)) 2)
(+.f64 1 (exp.f64 a))
(pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 3)
(+.f64 1 (exp.f64 a))
(pow.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 3) 1/3)
(+.f64 1 (exp.f64 a))
(pow.f64 (E.f64) (log1p.f64 (exp.f64 a)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 a))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 a)))) (sqrt.f64 (log1p.f64 (exp.f64 a))))
(sqrt.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 2))
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2))
(fabs.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (exp.f64 (+.f64 (exp.f64 a) 1)))
(+.f64 1 (exp.f64 a))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (exp.f64 a) 1))))
(+.f64 1 (exp.f64 a))
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 3))
(+.f64 1 (exp.f64 a))
(expm1.f64 (log.f64 (+.f64 2 (exp.f64 a))))
(+.f64 1 (exp.f64 a))
(exp.f64 (log1p.f64 (exp.f64 a)))
(+.f64 1 (exp.f64 a))
(log1p.f64 (expm1.f64 (+.f64 (exp.f64 a) 1)))
(+.f64 1 (exp.f64 a))
(fma.f64 1 (exp.f64 a) 1)
(+.f64 1 (exp.f64 a))
(fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) 1)
(+.f64 1 (exp.f64 a))
(fma.f64 (cbrt.f64 (exp.f64 (+.f64 a a))) (cbrt.f64 (exp.f64 a)) 1)
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 2) a)) (cbrt.f64 (exp.f64 a)) 1)

localize3.0ms (0%)

Compiler: Compiled 5 to 5 computations (0% saved)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 1/2 a) (log.f64 2))

Compiler

Compiled 16 to 13 computations (18.8% saved)

series3.0ms (0%)

Counts

1 → 3

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	a	@	0	(+.f64 (*.f64 1/2 a) (log.f64 2))
0.0ms	a	@	inf	(+.f64 (*.f64 1/2 a) (log.f64 2))
0.0ms	a	@	-inf	(+.f64 (*.f64 1/2 a) (log.f64 2))

rewrite58.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1848×	`add-sqr-sqrt`
1824×	`*-un-lft-identity`
1708×	`add-cube-cbrt`
1692×	`add-cbrt-cube`
182×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	188	13
2	2282	13

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

Inputs
(+.f64 (*.f64 1/2 a) (log.f64 2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 a (log.f64 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 1/4 (*.f64 a a)) (-.f64 (*.f64 1/2 a) (log.f64 2))) (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 1/2 a) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/2 a (log.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/2 a (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/2 a (log.f64 2))) (sqrt.f64 (fma.f64 1/2 a (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/2 a (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 1/2 a (log.f64 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 a (log.f64 2))) 2) (cbrt.f64 (fma.f64 1/2 a (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 1/4 (*.f64 a a)) (pow.f64 (log.f64 2) 2)) (/.f64 1 (-.f64 (*.f64 1/2 a) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 1/8 (pow.f64 a 3)) (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (*.f64 1/4 (*.f64 a a)) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 1/2 a) (log.f64 2)) (-.f64 (*.f64 1/4 (*.f64 a a)) (pow.f64 (log.f64 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 1/4 (*.f64 a a)) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 a)))) (+.f64 (*.f64 1/8 (pow.f64 a 3)) (pow.f64 (log.f64 2) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 1/4 (*.f64 a a)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 a) (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 1/8 (pow.f64 a 3)) (pow.f64 (log.f64 2) 3)) (+.f64 (*.f64 1/4 (*.f64 a a)) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 1/8 (pow.f64 a 3)) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 1/4 (*.f64 a a)) (*.f64 1/2 (*.f64 a (log.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 1/4 (*.f64 a a))) (-.f64 (log.f64 2) (*.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 1/4 (*.f64 a a)) (pow.f64 (log.f64 2) 2))) (neg.f64 (-.f64 (*.f64 1/2 a) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 1/8 (pow.f64 a 3)) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (*.f64 1/4 (*.f64 a a)) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/2 a (log.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/2 a (log.f64 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/2 a (log.f64 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/2 a (log.f64 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/2 a (log.f64 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 a (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/2 a (log.f64 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/2 a (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/2 a (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 1/2 a (log.f64 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/2 a (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 a (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a 1/2 (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/2 a) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 2) (*.f64 1/2 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 1/2 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 1/2 a)) (sqrt.f64 (*.f64 1/2 a)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 1/2 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/4 (*.f64 a a))) (cbrt.f64 (*.f64 1/2 a)) (log.f64 2))))))

simplify52.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1238×	`associate-r`
1134×	`associate-/r*`
1022×	`associate-l`
686×	`associate-+r+`
560×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	98	1074
1	237	1044
2	812	976
3	4402	976

Stop Event

1×	node limit

Counts

40 → 45

Calls

Call 1

Inputs
(log.f64 2)
(*.f64 1/2 a)
(*.f64 1/2 a)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 a (log.f64 2)))) 1)
(-.f64 (/.f64 (.f64 1/4 (.f64 a a)) (-.f64 (.f64 1/2 a) (log.f64 2))) (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (.f64 1/2 a) (log.f64 2))))
(*.f64 (fma.f64 1/2 a (log.f64 2)) 1)
(*.f64 1 (fma.f64 1/2 a (log.f64 2)))
(*.f64 (sqrt.f64 (fma.f64 1/2 a (log.f64 2))) (sqrt.f64 (fma.f64 1/2 a (log.f64 2))))
(*.f64 (cbrt.f64 (fma.f64 1/2 a (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 1/2 a (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 a (log.f64 2))) 2) (cbrt.f64 (fma.f64 1/2 a (log.f64 2))))
(.f64 (-.f64 (.f64 1/4 (.f64 a a)) (pow.f64 (log.f64 2) 2)) (/.f64 1 (-.f64 (.f64 1/2 a) (log.f64 2))))
(.f64 (+.f64 (.f64 1/8 (pow.f64 a 3)) (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (.f64 1/4 (.f64 a a)) (.f64 (log.f64 2) (-.f64 (log.f64 2) (.f64 1/2 a))))))
(/.f64 1 (/.f64 (-.f64 (.f64 1/2 a) (log.f64 2)) (-.f64 (.f64 1/4 (*.f64 a a)) (pow.f64 (log.f64 2) 2))))
(/.f64 1 (/.f64 (+.f64 (.f64 1/4 (.f64 a a)) (.f64 (log.f64 2) (-.f64 (log.f64 2) (.f64 1/2 a)))) (+.f64 (*.f64 1/8 (pow.f64 a 3)) (pow.f64 (log.f64 2) 3))))
(/.f64 (-.f64 (.f64 1/4 (.f64 a a)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 a) (log.f64 2)))
(/.f64 (+.f64 (.f64 1/8 (pow.f64 a 3)) (pow.f64 (log.f64 2) 3)) (+.f64 (.f64 1/4 (.f64 a a)) (.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 a)))))
(/.f64 (+.f64 (.f64 1/8 (pow.f64 a 3)) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (.f64 1/4 (.f64 a a)) (.f64 1/2 (*.f64 a (log.f64 2))))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (.f64 1/4 (.f64 a a))) (-.f64 (log.f64 2) (*.f64 1/2 a)))
(/.f64 (neg.f64 (-.f64 (.f64 1/4 (.f64 a a)) (pow.f64 (log.f64 2) 2))) (neg.f64 (-.f64 (*.f64 1/2 a) (log.f64 2))))
(/.f64 (neg.f64 (+.f64 (.f64 1/8 (pow.f64 a 3)) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (.f64 1/4 (.f64 a a)) (.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 a))))))
(pow.f64 (fma.f64 1/2 a (log.f64 2)) 1)
(pow.f64 (sqrt.f64 (fma.f64 1/2 a (log.f64 2))) 2)
(pow.f64 (cbrt.f64 (fma.f64 1/2 a (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 1/2 a (log.f64 2)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 1/2 a (log.f64 2)) 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) a)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 a (log.f64 2)))))
(cbrt.f64 (pow.f64 (fma.f64 1/2 a (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/2 a (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 1/2 a (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/2 a (log.f64 2))) 1))
(log1p.f64 (expm1.f64 (fma.f64 1/2 a (log.f64 2))))
(fma.f64 1/2 a (log.f64 2))
(fma.f64 a 1/2 (log.f64 2))
(fma.f64 1 (*.f64 1/2 a) (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 1/2 a))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 1/2 a))
(fma.f64 (sqrt.f64 (.f64 1/2 a)) (sqrt.f64 (.f64 1/2 a)) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 1/2 a))
(fma.f64 (cbrt.f64 (.f64 1/4 (.f64 a a))) (cbrt.f64 (*.f64 1/2 a)) (log.f64 2))

Outputs
(log.f64 2)
(*.f64 1/2 a)
(*.f64 1/2 a)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 a (log.f64 2)))) 1)
(fma.f64 1/2 a (log.f64 2))
(-.f64 (/.f64 (.f64 1/4 (.f64 a a)) (-.f64 (.f64 1/2 a) (log.f64 2))) (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (.f64 1/2 a) (log.f64 2))))
(/.f64 (-.f64 (.f64 1/4 (.f64 a a)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 a) (log.f64 2)))
(/.f64 (-.f64 (.f64 a (.f64 a 1/4)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 a) (log.f64 2)))
(/.f64 (fma.f64 (*.f64 a a) -1/4 (pow.f64 (log.f64 2) 2)) (fma.f64 a -1/2 (log.f64 2)))
(*.f64 (fma.f64 1/2 a (log.f64 2)) 1)
(fma.f64 1/2 a (log.f64 2))
(*.f64 1 (fma.f64 1/2 a (log.f64 2)))
(fma.f64 1/2 a (log.f64 2))
(*.f64 (sqrt.f64 (fma.f64 1/2 a (log.f64 2))) (sqrt.f64 (fma.f64 1/2 a (log.f64 2))))
(fma.f64 1/2 a (log.f64 2))
(*.f64 (cbrt.f64 (fma.f64 1/2 a (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 1/2 a (log.f64 2))) 2))
(fma.f64 1/2 a (log.f64 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 a (log.f64 2))) 2) (cbrt.f64 (fma.f64 1/2 a (log.f64 2))))
(fma.f64 1/2 a (log.f64 2))
(.f64 (-.f64 (.f64 1/4 (.f64 a a)) (pow.f64 (log.f64 2) 2)) (/.f64 1 (-.f64 (.f64 1/2 a) (log.f64 2))))
(/.f64 (-.f64 (.f64 1/4 (.f64 a a)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 a) (log.f64 2)))
(/.f64 (-.f64 (.f64 a (.f64 a 1/4)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 a) (log.f64 2)))
(/.f64 (fma.f64 (*.f64 a a) -1/4 (pow.f64 (log.f64 2) 2)) (fma.f64 a -1/2 (log.f64 2)))
(.f64 (+.f64 (.f64 1/8 (pow.f64 a 3)) (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (.f64 1/4 (.f64 a a)) (.f64 (log.f64 2) (-.f64 (log.f64 2) (.f64 1/2 a))))))
(/.f64 (.f64 (fma.f64 1/8 (pow.f64 a 3) (pow.f64 (log.f64 2) 3)) 1) (fma.f64 1/4 (.f64 a a) (.f64 (log.f64 2) (+.f64 (log.f64 2) (.f64 -1/2 a)))))
(/.f64 (fma.f64 1/8 (pow.f64 a 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (.f64 a -1/2)) (.f64 a (*.f64 a 1/4))))
(/.f64 (fma.f64 1/8 (pow.f64 a 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (fma.f64 a -1/2 (log.f64 2)) (.f64 a (.f64 a 1/4))))
(/.f64 1 (/.f64 (-.f64 (.f64 1/2 a) (log.f64 2)) (-.f64 (.f64 1/4 (*.f64 a a)) (pow.f64 (log.f64 2) 2))))
(/.f64 (-.f64 (.f64 1/4 (.f64 a a)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 a) (log.f64 2)))
(/.f64 (-.f64 (.f64 a (.f64 a 1/4)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 a) (log.f64 2)))
(/.f64 (fma.f64 (*.f64 a a) -1/4 (pow.f64 (log.f64 2) 2)) (fma.f64 a -1/2 (log.f64 2)))
(/.f64 1 (/.f64 (+.f64 (.f64 1/4 (.f64 a a)) (.f64 (log.f64 2) (-.f64 (log.f64 2) (.f64 1/2 a)))) (+.f64 (*.f64 1/8 (pow.f64 a 3)) (pow.f64 (log.f64 2) 3))))
(/.f64 (.f64 (fma.f64 1/8 (pow.f64 a 3) (pow.f64 (log.f64 2) 3)) 1) (fma.f64 1/4 (.f64 a a) (.f64 (log.f64 2) (+.f64 (log.f64 2) (.f64 -1/2 a)))))
(/.f64 (fma.f64 1/8 (pow.f64 a 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (.f64 a -1/2)) (.f64 a (*.f64 a 1/4))))
(/.f64 (fma.f64 1/8 (pow.f64 a 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (fma.f64 a -1/2 (log.f64 2)) (.f64 a (.f64 a 1/4))))
(/.f64 (-.f64 (.f64 1/4 (.f64 a a)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 a) (log.f64 2)))
(/.f64 (-.f64 (.f64 a (.f64 a 1/4)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 a) (log.f64 2)))
(/.f64 (fma.f64 (*.f64 a a) -1/4 (pow.f64 (log.f64 2) 2)) (fma.f64 a -1/2 (log.f64 2)))
(/.f64 (+.f64 (.f64 1/8 (pow.f64 a 3)) (pow.f64 (log.f64 2) 3)) (+.f64 (.f64 1/4 (.f64 a a)) (.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 a)))))
(/.f64 (.f64 (fma.f64 1/8 (pow.f64 a 3) (pow.f64 (log.f64 2) 3)) 1) (fma.f64 1/4 (.f64 a a) (.f64 (log.f64 2) (+.f64 (log.f64 2) (.f64 -1/2 a)))))
(/.f64 (fma.f64 1/8 (pow.f64 a 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (.f64 a -1/2)) (.f64 a (*.f64 a 1/4))))
(/.f64 (fma.f64 1/8 (pow.f64 a 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (fma.f64 a -1/2 (log.f64 2)) (.f64 a (.f64 a 1/4))))
(/.f64 (+.f64 (.f64 1/8 (pow.f64 a 3)) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (.f64 1/4 (.f64 a a)) (.f64 1/2 (*.f64 a (log.f64 2))))))
(/.f64 (.f64 (fma.f64 1/8 (pow.f64 a 3) (pow.f64 (log.f64 2) 3)) 1) (fma.f64 1/4 (.f64 a a) (.f64 (log.f64 2) (+.f64 (log.f64 2) (.f64 -1/2 a)))))
(/.f64 (fma.f64 1/8 (pow.f64 a 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (.f64 a -1/2)) (.f64 a (*.f64 a 1/4))))
(/.f64 (fma.f64 1/8 (pow.f64 a 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (fma.f64 a -1/2 (log.f64 2)) (.f64 a (.f64 a 1/4))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (.f64 1/4 (.f64 a a))) (-.f64 (log.f64 2) (*.f64 1/2 a)))
(/.f64 (-.f64 (.f64 1/4 (.f64 a a)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 a) (log.f64 2)))
(/.f64 (-.f64 (.f64 a (.f64 a 1/4)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 a) (log.f64 2)))
(/.f64 (fma.f64 (*.f64 a a) -1/4 (pow.f64 (log.f64 2) 2)) (fma.f64 a -1/2 (log.f64 2)))
(/.f64 (neg.f64 (-.f64 (.f64 1/4 (.f64 a a)) (pow.f64 (log.f64 2) 2))) (neg.f64 (-.f64 (*.f64 1/2 a) (log.f64 2))))
(/.f64 (-.f64 (.f64 1/4 (.f64 a a)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 a) (log.f64 2)))
(/.f64 (-.f64 (.f64 a (.f64 a 1/4)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 a) (log.f64 2)))
(/.f64 (fma.f64 (*.f64 a a) -1/4 (pow.f64 (log.f64 2) 2)) (fma.f64 a -1/2 (log.f64 2)))
(/.f64 (neg.f64 (+.f64 (.f64 1/8 (pow.f64 a 3)) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (.f64 1/4 (.f64 a a)) (.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 a))))))
(/.f64 (.f64 (fma.f64 1/8 (pow.f64 a 3) (pow.f64 (log.f64 2) 3)) 1) (fma.f64 1/4 (.f64 a a) (.f64 (log.f64 2) (+.f64 (log.f64 2) (.f64 -1/2 a)))))
(/.f64 (fma.f64 1/8 (pow.f64 a 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (.f64 a -1/2)) (.f64 a (*.f64 a 1/4))))
(/.f64 (fma.f64 1/8 (pow.f64 a 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (fma.f64 a -1/2 (log.f64 2)) (.f64 a (.f64 a 1/4))))
(pow.f64 (fma.f64 1/2 a (log.f64 2)) 1)
(fma.f64 1/2 a (log.f64 2))
(pow.f64 (sqrt.f64 (fma.f64 1/2 a (log.f64 2))) 2)
(fma.f64 1/2 a (log.f64 2))
(pow.f64 (cbrt.f64 (fma.f64 1/2 a (log.f64 2))) 3)
(fma.f64 1/2 a (log.f64 2))
(pow.f64 (pow.f64 (fma.f64 1/2 a (log.f64 2)) 3) 1/3)
(fma.f64 1/2 a (log.f64 2))
(sqrt.f64 (pow.f64 (fma.f64 1/2 a (log.f64 2)) 2))
(fma.f64 1/2 a (log.f64 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) a)))
(fma.f64 1/2 a (log.f64 2))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 a (log.f64 2)))))
(fma.f64 1/2 a (log.f64 2))
(cbrt.f64 (pow.f64 (fma.f64 1/2 a (log.f64 2)) 3))
(fma.f64 1/2 a (log.f64 2))
(expm1.f64 (log1p.f64 (fma.f64 1/2 a (log.f64 2))))
(fma.f64 1/2 a (log.f64 2))
(exp.f64 (log.f64 (fma.f64 1/2 a (log.f64 2))))
(fma.f64 1/2 a (log.f64 2))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/2 a (log.f64 2))) 1))
(fma.f64 1/2 a (log.f64 2))
(log1p.f64 (expm1.f64 (fma.f64 1/2 a (log.f64 2))))
(fma.f64 1/2 a (log.f64 2))
(fma.f64 1/2 a (log.f64 2))
(fma.f64 a 1/2 (log.f64 2))
(fma.f64 1/2 a (log.f64 2))
(fma.f64 1 (*.f64 1/2 a) (log.f64 2))
(fma.f64 1/2 a (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 1/2 a))
(fma.f64 1/2 a (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 1/2 a))
(fma.f64 1/2 a (log.f64 2))
(fma.f64 (sqrt.f64 (.f64 1/2 a)) (sqrt.f64 (.f64 1/2 a)) (log.f64 2))
(fma.f64 1/2 a (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 1/2 a))
(fma.f64 1/2 a (log.f64 2))
(fma.f64 (cbrt.f64 (.f64 1/4 (.f64 a a))) (cbrt.f64 (*.f64 1/2 a)) (log.f64 2))
(fma.f64 (cbrt.f64 (.f64 a (.f64 a 1/4))) (cbrt.f64 (*.f64 1/2 a)) (log.f64 2))

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (+.f64 2 b) (.f64 1/2 (.f64 b b)))
✓	0.0b	(log.f64 (+.f64 (+.f64 2 b) (.f64 1/2 (.f64 b b))))
	0.0b	(.f64 1/2 (.f64 b b))

Compiler

Compiled 35 to 20 computations (42.9% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	b	@	inf	(log.f64 (+.f64 (+.f64 2 b) (.f64 1/2 (.f64 b b))))
0.0ms	b	@	-inf	(log.f64 (+.f64 (+.f64 2 b) (.f64 1/2 (.f64 b b))))
0.0ms	b	@	0	(log.f64 (+.f64 (+.f64 2 b) (.f64 1/2 (.f64 b b))))
0.0ms	b	@	inf	(+.f64 (+.f64 2 b) (.f64 1/2 (.f64 b b)))
0.0ms	b	@	0	(+.f64 (+.f64 2 b) (.f64 1/2 (.f64 b b)))

rewrite75.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1074×	`*-commutative`
874×	`associate-*r/`
850×	`distribute-lft-in`
830×	`distribute-rgt-in`
786×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	54
1	239	46
2	3166	46

Stop Event

1×	node limit

Counts

2 → 125

Calls

Call 1

Inputs
(log.f64 (+.f64 (+.f64 2 b) (.f64 1/2 (.f64 b b))))
(+.f64 (+.f64 2 b) (.f64 1/2 (.f64 b b)))

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 3 b))) (-.f64 1 (*.f64 b (*.f64 b 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 b)) (-.f64 1 (+.f64 2 (*.f64 b (*.f64 b 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 b (*.f64 b 1/2)))) (-.f64 1 (+.f64 2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 2 b) 2) (+.f64 2 (-.f64 b (*.f64 b (*.f64 b 1/2))))) (/.f64 (pow.f64 b 4) (/.f64 (+.f64 2 (-.f64 b (*.f64 b (*.f64 b 1/2)))) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 4 (-.f64 2 b)) (-.f64 (/.f64 (*.f64 b b) (-.f64 2 b)) (*.f64 b (*.f64 b 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 2 b) (exp.f64 (log1p.f64 (*.f64 b (*.f64 b 1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 b (*.f64 b 1/2)) 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simplify104.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1630×	`associate-*r/`
1280×	`associate-*l/`
878×	`associate-+l+`
852×	`+-commutative`
768×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	376	8991
1	1077	7803
2	4564	7803

Stop Event

1×	node limit

Counts

149 → 239

Calls

Call 1

Inputs
(log.f64 2)
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 1/8 (pow.f64 b 2)) (log.f64 2)))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 1/8 (pow.f64 b 2)) (+.f64 (log.f64 2) (*.f64 -1/12 (pow.f64 b 3)))))
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 b))) (log.f64 1/2))
(+.f64 (log.f64 1/2) (+.f64 (.f64 -2 (log.f64 (/.f64 1 b))) (.f64 2 (/.f64 1 b))))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 b 2))) (+.f64 (.f64 2 (/.f64 1 b)) (+.f64 (log.f64 1/2) (*.f64 -2 (log.f64 (/.f64 1 b))))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 b 2))) (+.f64 (.f64 2 (/.f64 1 b)) (+.f64 (log.f64 1/2) (.f64 -2 (log.f64 (/.f64 1 b)))))) (.f64 16/3 (/.f64 1 (pow.f64 b 3))))
(+.f64 (log.f64 1/2) (*.f64 -2 (log.f64 (/.f64 -1 b))))
(+.f64 (log.f64 1/2) (+.f64 (.f64 2 (/.f64 1 b)) (.f64 -2 (log.f64 (/.f64 -1 b)))))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 b 2))) (+.f64 (.f64 2 (/.f64 1 b)) (+.f64 (log.f64 1/2) (*.f64 -2 (log.f64 (/.f64 -1 b))))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 b 2))) (+.f64 (.f64 2 (/.f64 1 b)) (+.f64 (log.f64 1/2) (.f64 -2 (log.f64 (/.f64 -1 b)))))) (.f64 16/3 (/.f64 1 (pow.f64 b 3))))
2
(+.f64 2 b)
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
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(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (pow.f64 b 4) 1/4))) (sqrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b)))) (sqrt.f64 (+.f64 2 (-.f64 b (.f64 b (*.f64 b 1/2))))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 (.f64 b (.f64 b 1/2)) 3))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b))) 2)) (cbrt.f64 (+.f64 (.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (+.f64 2 b) (.f64 b (.f64 b 1/2)))))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (pow.f64 b 4) 1/4))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b))) 2)) (cbrt.f64 (+.f64 2 (-.f64 b (.f64 b (*.f64 b 1/2))))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (+.f64 2 b) 2) (pow.f64 (+.f64 2 b) 2)) (.f64 (.f64 (pow.f64 b 4) 1/4) (.f64 (pow.f64 b 4) 1/4))) (/.f64 1 (+.f64 2 (-.f64 b (.f64 b (.f64 b 1/2)))))) (+.f64 (.f64 (pow.f64 b 4) 1/4) (pow.f64 (+.f64 2 b) 2)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 2 b) 2) 3) (pow.f64 (.f64 (pow.f64 b 4) 1/4) 3)) (/.f64 1 (+.f64 2 (-.f64 b (.f64 b (.f64 b 1/2)))))) (+.f64 (+.f64 (.f64 (pow.f64 (+.f64 2 b) 2) (pow.f64 (+.f64 2 b) 2)) (.f64 (.f64 (pow.f64 b 4) 1/4) (.f64 (pow.f64 b 4) 1/4))) (.f64 (.f64 (pow.f64 b 4) 1/4) (pow.f64 (+.f64 2 b) 2))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 (+.f64 2 b) 3)) (.f64 (pow.f64 (.f64 b (.f64 b 1/2)) 3) (pow.f64 (.f64 b (.f64 b 1/2)) 3))) (/.f64 1 (+.f64 (.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (+.f64 2 b) (.f64 b (.f64 b 1/2))))))) (-.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 (.f64 b (*.f64 b 1/2)) 3)))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 2 b) 3) 3) (pow.f64 (pow.f64 (.f64 b (.f64 b 1/2)) 3) 3)) (/.f64 1 (+.f64 (.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (+.f64 2 b) (.f64 b (.f64 b 1/2))))))) (+.f64 (.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 (+.f64 2 b) 3)) (-.f64 (.f64 (pow.f64 (.f64 b (.f64 b 1/2)) 3) (pow.f64 (.f64 b (.f64 b 1/2)) 3)) (.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 (.f64 b (.f64 b 1/2)) 3)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (pow.f64 b 4) 1/4)) 1) (+.f64 2 (-.f64 b (.f64 b (*.f64 b 1/2)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (pow.f64 b 4) 1/4)) (sqrt.f64 (+.f64 2 (-.f64 b (.f64 b (.f64 b 1/2)))))) (sqrt.f64 (+.f64 2 (-.f64 b (.f64 b (*.f64 b 1/2))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (pow.f64 b 4) 1/4)) (.f64 (cbrt.f64 (+.f64 2 (-.f64 b (.f64 b (.f64 b 1/2))))) (cbrt.f64 (+.f64 2 (-.f64 b (.f64 b (.f64 b 1/2))))))) (cbrt.f64 (+.f64 2 (-.f64 b (.f64 b (.f64 b 1/2))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (pow.f64 b 4) 1/4)) (+.f64 (.f64 b (sqrt.f64 1/2)) (sqrt.f64 (+.f64 2 b)))) (-.f64 (sqrt.f64 (+.f64 2 b)) (*.f64 b (sqrt.f64 1/2))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 (.f64 b (.f64 b 1/2)) 3)) 1) (+.f64 (.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (+.f64 2 b) (.f64 b (.f64 b 1/2))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 (.f64 b (.f64 b 1/2)) 3)) (sqrt.f64 (+.f64 (.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (+.f64 2 b) (.f64 b (.f64 b 1/2))))))) (sqrt.f64 (+.f64 (.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (+.f64 2 b) (.f64 b (.f64 b 1/2)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 (.f64 b (.f64 b 1/2)) 3)) (.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (+.f64 2 b) (.f64 b (.f64 b 1/2)))))) (cbrt.f64 (+.f64 (.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (+.f64 2 b) (.f64 b (.f64 b 1/2)))))))) (cbrt.f64 (+.f64 (.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (+.f64 2 b) (.f64 b (*.f64 b 1/2)))))))
(pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)) 1)
(pow.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))) 2)
(pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))) 3)
(pow.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)) 3) 1/3)
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b)))) 2)) (cbrt.f64 (log.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b))))) (sqrt.f64 (log.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b)))))
(sqrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)) 2))
(log.f64 (exp.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))))
(cbrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))))
(exp.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))))
(log1p.f64 (expm1.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))))
(fma.f64 1/2 (*.f64 b b) (+.f64 2 b))
(fma.f64 (*.f64 b b) 1/2 (+.f64 2 b))
(fma.f64 1 (+.f64 2 b) (.f64 b (.f64 b 1/2)))
(fma.f64 1 (.f64 b (.f64 b 1/2)) (+.f64 2 b))
(fma.f64 (.f64 b (sqrt.f64 1/2)) (.f64 b (sqrt.f64 1/2)) (+.f64 2 b))
(fma.f64 (sqrt.f64 (+.f64 2 b)) (sqrt.f64 (+.f64 2 b)) (.f64 b (.f64 b 1/2)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 b 4) 1/4)) (cbrt.f64 (.f64 b (*.f64 b 1/2))) (+.f64 2 b))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 2 b)) 2) (cbrt.f64 (+.f64 2 b)) (.f64 b (.f64 b 1/2)))
(fma.f64 (*.f64 b 1/2) b (+.f64 2 b))

Outputs
(log.f64 2)
(+.f64 (*.f64 1/2 b) (log.f64 2))
(fma.f64 1/2 b (log.f64 2))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 1/8 (pow.f64 b 2)) (log.f64 2)))
(fma.f64 1/2 b (fma.f64 1/8 (*.f64 b b) (log.f64 2)))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 1/8 (pow.f64 b 2)) (+.f64 (log.f64 2) (*.f64 -1/12 (pow.f64 b 3)))))
(fma.f64 1/2 b (+.f64 (fma.f64 1/8 (.f64 b b) (log.f64 2)) (.f64 -1/12 (pow.f64 b 3))))
(fma.f64 1/2 b (fma.f64 1/8 (*.f64 b b) (fma.f64 -1/12 (pow.f64 b 3) (log.f64 2))))
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 b))) (log.f64 1/2))
(fma.f64 -2 (neg.f64 (log.f64 b)) (log.f64 1/2))
(+.f64 (log.f64 1/2) (+.f64 (.f64 -2 (log.f64 (/.f64 1 b))) (.f64 2 (/.f64 1 b))))
(+.f64 (log.f64 1/2) (fma.f64 -2 (neg.f64 (log.f64 b)) (/.f64 2 b)))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 b 2))) (+.f64 (.f64 2 (/.f64 1 b)) (+.f64 (log.f64 1/2) (*.f64 -2 (log.f64 (/.f64 1 b))))))
(+.f64 (/.f64 2 (*.f64 b b)) (+.f64 (log.f64 1/2) (fma.f64 -2 (neg.f64 (log.f64 b)) (/.f64 2 b))))
(+.f64 (log.f64 1/2) (+.f64 (fma.f64 -2 (neg.f64 (log.f64 b)) (/.f64 2 b)) (/.f64 2 (*.f64 b b))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 b 2))) (+.f64 (.f64 2 (/.f64 1 b)) (+.f64 (log.f64 1/2) (.f64 -2 (log.f64 (/.f64 1 b)))))) (.f64 16/3 (/.f64 1 (pow.f64 b 3))))
(+.f64 (/.f64 2 (*.f64 b b)) (-.f64 (+.f64 (log.f64 1/2) (fma.f64 -2 (neg.f64 (log.f64 b)) (/.f64 2 b))) (/.f64 16/3 (pow.f64 b 3))))
(+.f64 (/.f64 2 (*.f64 b b)) (+.f64 (log.f64 1/2) (-.f64 (fma.f64 -2 (neg.f64 (log.f64 b)) (/.f64 2 b)) (/.f64 16/3 (pow.f64 b 3)))))
(+.f64 (log.f64 1/2) (+.f64 (fma.f64 -2 (neg.f64 (log.f64 b)) (/.f64 2 b)) (-.f64 (/.f64 2 (*.f64 b b)) (/.f64 16/3 (pow.f64 b 3)))))
(+.f64 (log.f64 1/2) (*.f64 -2 (log.f64 (/.f64 -1 b))))
(fma.f64 -2 (log.f64 (/.f64 -1 b)) (log.f64 1/2))
(+.f64 (log.f64 1/2) (+.f64 (.f64 2 (/.f64 1 b)) (.f64 -2 (log.f64 (/.f64 -1 b)))))
(+.f64 (log.f64 1/2) (+.f64 (/.f64 2 b) (*.f64 -2 (log.f64 (/.f64 -1 b)))))
(+.f64 (log.f64 1/2) (fma.f64 -2 (log.f64 (/.f64 -1 b)) (/.f64 2 b)))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 b 2))) (+.f64 (.f64 2 (/.f64 1 b)) (+.f64 (log.f64 1/2) (*.f64 -2 (log.f64 (/.f64 -1 b))))))
(+.f64 (/.f64 2 (.f64 b b)) (+.f64 (+.f64 (/.f64 2 b) (log.f64 1/2)) (.f64 -2 (log.f64 (/.f64 -1 b)))))
(+.f64 (fma.f64 -2 (log.f64 (/.f64 -1 b)) (log.f64 1/2)) (+.f64 (/.f64 2 b) (/.f64 2 (*.f64 b b))))
(+.f64 (log.f64 1/2) (+.f64 (/.f64 2 (*.f64 b b)) (fma.f64 -2 (log.f64 (/.f64 -1 b)) (/.f64 2 b))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 b 2))) (+.f64 (.f64 2 (/.f64 1 b)) (+.f64 (log.f64 1/2) (.f64 -2 (log.f64 (/.f64 -1 b)))))) (.f64 16/3 (/.f64 1 (pow.f64 b 3))))
(+.f64 (/.f64 2 (.f64 b b)) (-.f64 (+.f64 (+.f64 (/.f64 2 b) (log.f64 1/2)) (.f64 -2 (log.f64 (/.f64 -1 b)))) (/.f64 16/3 (pow.f64 b 3))))
(+.f64 (/.f64 2 (*.f64 b b)) (+.f64 (fma.f64 -2 (log.f64 (/.f64 -1 b)) (log.f64 1/2)) (-.f64 (/.f64 2 b) (/.f64 16/3 (pow.f64 b 3)))))
(+.f64 (log.f64 1/2) (+.f64 (fma.f64 -2 (log.f64 (/.f64 -1 b)) (/.f64 2 b)) (-.f64 (/.f64 2 (*.f64 b b)) (/.f64 16/3 (pow.f64 b 3)))))
2
(+.f64 2 b)
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 2 (fma.f64 1/2 (*.f64 b b) b))
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 2 (fma.f64 1/2 (*.f64 b b) b))
(*.f64 1/2 (pow.f64 b 2))
(.f64 1/2 (.f64 b b))
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(+.f64 b (.f64 1/2 (.f64 b b)))
(fma.f64 1/2 (*.f64 b b) b)
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 2 (fma.f64 1/2 (*.f64 b b) b))
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 2 (fma.f64 1/2 (*.f64 b b) b))
(*.f64 1/2 (pow.f64 b 2))
(.f64 1/2 (.f64 b b))
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(+.f64 b (.f64 1/2 (.f64 b b)))
(fma.f64 1/2 (*.f64 b b) b)
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 2 (fma.f64 1/2 (*.f64 b b) b))
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 2 (fma.f64 1/2 (*.f64 b b) b))
(+.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))) 0)
(log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))
(log.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)))
(+.f64 (log.f64 (cbrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b)))) (log.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b))) 2)))
(log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))
(log.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)))
(+.f64 0 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))))
(log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))
(log.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b)))) (log.f64 (sqrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b)))))
(log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))
(log.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b))) 2)) (log.f64 (cbrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b)))))
(log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))
(log.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b))))) (log.f64 (sqrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b)))))
(log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))
(log.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b))) 2))) (log.f64 (cbrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b)))))
(log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))
(log.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)))
(+.f64 (.f64 1 (log.f64 (sqrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b))))) (.f64 1 (log.f64 (sqrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b))))))
(log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))
(log.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)))
(+.f64 (.f64 1 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b))) 2))) (.f64 1 (log.f64 (cbrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b))))))
(log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))
(log.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)))
(+.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b)))) 1) (.f64 (log.f64 (sqrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b)))) 1))
(log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))
(log.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)))
(+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b))) 2)) 1) (.f64 (log.f64 (cbrt.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b)))) 1))
(log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))
(log.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 (.f64 b (.f64 b 1/2)) 3))) (log.f64 (+.f64 (.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (+.f64 2 b) (.f64 b (.f64 b 1/2)))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 (.f64 1/2 (.f64 b b)) 3))) (log.f64 (-.f64 (fma.f64 (pow.f64 b 4) 1/4 (pow.f64 (+.f64 2 b) 2)) (.f64 (+.f64 2 b) (.f64 1/2 (*.f64 b b))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 (.f64 1/2 (.f64 b b)) 3))) (log.f64 (fma.f64 (pow.f64 b 4) 1/4 (.f64 (+.f64 2 b) (-.f64 b (fma.f64 1/2 (.f64 b b) -2))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 2 b) 3) (.f64 1/8 (pow.f64 (.f64 b b) 3)))) (log.f64 (fma.f64 (pow.f64 b 4) 1/4 (.f64 (+.f64 2 b) (-.f64 b (fma.f64 1/2 (.f64 b b) -2))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (pow.f64 b 4) 1/4))) (log.f64 (+.f64 2 (-.f64 b (.f64 b (*.f64 b 1/2))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (pow.f64 b 4) 1/4))) (log.f64 (+.f64 2 (-.f64 b (.f64 1/2 (*.f64 b b))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (pow.f64 b 4) -1/4))) (log.f64 (-.f64 b (fma.f64 1/2 (.f64 b b) -2))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))))) 1)
(log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))
(log.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)))
(-.f64 (+.f64 0 (log.f64 (+.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 (.f64 b (.f64 b 1/2)) 3)))) (log.f64 (+.f64 (.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (+.f64 2 b) (.f64 b (.f64 b 1/2)))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 (.f64 1/2 (.f64 b b)) 3))) (log.f64 (-.f64 (fma.f64 (pow.f64 b 4) 1/4 (pow.f64 (+.f64 2 b) 2)) (.f64 (+.f64 2 b) (.f64 1/2 (*.f64 b b))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 (.f64 1/2 (.f64 b b)) 3))) (log.f64 (fma.f64 (pow.f64 b 4) 1/4 (.f64 (+.f64 2 b) (-.f64 b (fma.f64 1/2 (.f64 b b) -2))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 2 b) 3) (.f64 1/8 (pow.f64 (.f64 b b) 3)))) (log.f64 (fma.f64 (pow.f64 b 4) 1/4 (.f64 (+.f64 2 b) (-.f64 b (fma.f64 1/2 (.f64 b b) -2))))))
(-.f64 (+.f64 0 (log.f64 (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (pow.f64 b 4) 1/4)))) (log.f64 (+.f64 2 (-.f64 b (.f64 b (*.f64 b 1/2))))))
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(/.f64 (-.f64 (.f64 (pow.f64 b 4) 1/4) (pow.f64 (+.f64 2 b) 2)) (fma.f64 1/2 (.f64 b b) (-.f64 -2 b)))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (pow.f64 b 4) 1/4)) (sqrt.f64 (+.f64 2 (-.f64 b (.f64 b (.f64 b 1/2)))))) (sqrt.f64 (+.f64 2 (-.f64 b (.f64 b (*.f64 b 1/2))))))
(-.f64 (/.f64 (pow.f64 (+.f64 2 b) 2) (+.f64 2 (-.f64 b (.f64 1/2 (.f64 b b))))) (.f64 (/.f64 (pow.f64 b 4) (+.f64 2 (-.f64 b (.f64 1/2 (*.f64 b b))))) 1/4))
(/.f64 (+.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (pow.f64 b 4) -1/4)) (-.f64 b (fma.f64 1/2 (.f64 b b) -2)))
(/.f64 (-.f64 (.f64 (pow.f64 b 4) 1/4) (pow.f64 (+.f64 2 b) 2)) (fma.f64 1/2 (.f64 b b) (-.f64 -2 b)))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (pow.f64 b 4) 1/4)) (.f64 (cbrt.f64 (+.f64 2 (-.f64 b (.f64 b (.f64 b 1/2))))) (cbrt.f64 (+.f64 2 (-.f64 b (.f64 b (.f64 b 1/2))))))) (cbrt.f64 (+.f64 2 (-.f64 b (.f64 b (.f64 b 1/2))))))
(-.f64 (/.f64 (pow.f64 (+.f64 2 b) 2) (+.f64 2 (-.f64 b (.f64 1/2 (.f64 b b))))) (.f64 (/.f64 (pow.f64 b 4) (+.f64 2 (-.f64 b (.f64 1/2 (*.f64 b b))))) 1/4))
(/.f64 (+.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (pow.f64 b 4) -1/4)) (-.f64 b (fma.f64 1/2 (.f64 b b) -2)))
(/.f64 (-.f64 (.f64 (pow.f64 b 4) 1/4) (pow.f64 (+.f64 2 b) 2)) (fma.f64 1/2 (.f64 b b) (-.f64 -2 b)))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (pow.f64 b 4) 1/4)) (+.f64 (.f64 b (sqrt.f64 1/2)) (sqrt.f64 (+.f64 2 b)))) (-.f64 (sqrt.f64 (+.f64 2 b)) (*.f64 b (sqrt.f64 1/2))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (pow.f64 b 4) 1/4)) (fma.f64 b (sqrt.f64 1/2) (sqrt.f64 (+.f64 2 b)))) (-.f64 (sqrt.f64 (+.f64 2 b)) (.f64 b (sqrt.f64 1/2))))
(/.f64 (+.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (pow.f64 b 4) -1/4)) (.f64 (fma.f64 b (sqrt.f64 1/2) (sqrt.f64 (+.f64 2 b))) (-.f64 (sqrt.f64 (+.f64 2 b)) (*.f64 b (sqrt.f64 1/2)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (pow.f64 b 4) -1/4)) (fma.f64 b (sqrt.f64 1/2) (sqrt.f64 (+.f64 2 b)))) (-.f64 (sqrt.f64 (+.f64 2 b)) (.f64 b (sqrt.f64 1/2))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 (.f64 b (.f64 b 1/2)) 3)) 1) (+.f64 (.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (+.f64 2 b) (.f64 b (.f64 b 1/2))))))
(.f64 (+.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 (.f64 1/2 (.f64 b b)) 3)) (/.f64 1 (-.f64 (fma.f64 (pow.f64 b 4) 1/4 (pow.f64 (+.f64 2 b) 2)) (.f64 (+.f64 2 b) (.f64 1/2 (.f64 b b))))))
(/.f64 (+.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 (.f64 1/2 (.f64 b b)) 3)) (fma.f64 (pow.f64 b 4) 1/4 (.f64 (+.f64 2 b) (-.f64 b (fma.f64 1/2 (.f64 b b) -2)))))
(/.f64 (+.f64 (pow.f64 (+.f64 2 b) 3) (.f64 1/8 (pow.f64 (.f64 b b) 3))) (fma.f64 (pow.f64 b 4) 1/4 (.f64 (+.f64 2 b) (-.f64 b (fma.f64 1/2 (.f64 b b) -2)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 (.f64 b (.f64 b 1/2)) 3)) (sqrt.f64 (+.f64 (.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (+.f64 2 b) (.f64 b (.f64 b 1/2))))))) (sqrt.f64 (+.f64 (.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (+.f64 2 b) (.f64 b (.f64 b 1/2)))))))
(.f64 (+.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 (.f64 1/2 (.f64 b b)) 3)) (/.f64 1 (-.f64 (fma.f64 (pow.f64 b 4) 1/4 (pow.f64 (+.f64 2 b) 2)) (.f64 (+.f64 2 b) (.f64 1/2 (.f64 b b))))))
(/.f64 (+.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 (.f64 1/2 (.f64 b b)) 3)) (fma.f64 (pow.f64 b 4) 1/4 (.f64 (+.f64 2 b) (-.f64 b (fma.f64 1/2 (.f64 b b) -2)))))
(/.f64 (+.f64 (pow.f64 (+.f64 2 b) 3) (.f64 1/8 (pow.f64 (.f64 b b) 3))) (fma.f64 (pow.f64 b 4) 1/4 (.f64 (+.f64 2 b) (-.f64 b (fma.f64 1/2 (.f64 b b) -2)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 (.f64 b (.f64 b 1/2)) 3)) (.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (+.f64 2 b) (.f64 b (.f64 b 1/2)))))) (cbrt.f64 (+.f64 (.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (+.f64 2 b) (.f64 b (.f64 b 1/2)))))))) (cbrt.f64 (+.f64 (.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 2 b) 2) (.f64 (+.f64 2 b) (.f64 b (*.f64 b 1/2)))))))
(.f64 (+.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 (.f64 1/2 (.f64 b b)) 3)) (/.f64 1 (-.f64 (fma.f64 (pow.f64 b 4) 1/4 (pow.f64 (+.f64 2 b) 2)) (.f64 (+.f64 2 b) (.f64 1/2 (.f64 b b))))))
(/.f64 (+.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 (.f64 1/2 (.f64 b b)) 3)) (fma.f64 (pow.f64 b 4) 1/4 (.f64 (+.f64 2 b) (-.f64 b (fma.f64 1/2 (.f64 b b) -2)))))
(/.f64 (+.f64 (pow.f64 (+.f64 2 b) 3) (.f64 1/8 (pow.f64 (.f64 b b) 3))) (fma.f64 (pow.f64 b 4) 1/4 (.f64 (+.f64 2 b) (-.f64 b (fma.f64 1/2 (.f64 b b) -2)))))
(pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)) 1)
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 2 (fma.f64 1/2 (*.f64 b b) b))
(pow.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))) 2)
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 2 (fma.f64 1/2 (*.f64 b b) b))
(pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))) 3)
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 2 (fma.f64 1/2 (*.f64 b b) b))
(pow.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)) 3) 1/3)
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 2 (fma.f64 1/2 (*.f64 b b) b))
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 2 (fma.f64 1/2 (*.f64 b b) b))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b)))) 2)) (cbrt.f64 (log.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b)))))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 2 (fma.f64 1/2 (*.f64 b b) b))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b))))) (sqrt.f64 (log.f64 (fma.f64 1/2 (.f64 b b) (+.f64 2 b)))))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 2 (fma.f64 1/2 (*.f64 b b) b))
(sqrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)) 2))
(fabs.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)))
(log.f64 (exp.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 2 (fma.f64 1/2 (*.f64 b b) b))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 2 (fma.f64 1/2 (*.f64 b b) b))
(cbrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)) 3))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 2 (fma.f64 1/2 (*.f64 b b) b))
(expm1.f64 (log1p.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 2 (fma.f64 1/2 (*.f64 b b) b))
(exp.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 2 (fma.f64 1/2 (*.f64 b b) b))
(log1p.f64 (expm1.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 2 (fma.f64 1/2 (*.f64 b b) b))
(fma.f64 1/2 (*.f64 b b) (+.f64 2 b))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 2 (fma.f64 1/2 (*.f64 b b) b))
(fma.f64 (*.f64 b b) 1/2 (+.f64 2 b))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 2 (fma.f64 1/2 (*.f64 b b) b))
(fma.f64 1 (+.f64 2 b) (.f64 b (.f64 b 1/2)))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 2 (fma.f64 1/2 (*.f64 b b) b))
(fma.f64 1 (.f64 b (.f64 b 1/2)) (+.f64 2 b))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 2 (fma.f64 1/2 (*.f64 b b) b))
(fma.f64 (.f64 b (sqrt.f64 1/2)) (.f64 b (sqrt.f64 1/2)) (+.f64 2 b))
(fma.f64 (sqrt.f64 (+.f64 2 b)) (sqrt.f64 (+.f64 2 b)) (.f64 b (.f64 b 1/2)))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 2 (fma.f64 1/2 (*.f64 b b) b))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 b 4) 1/4)) (cbrt.f64 (.f64 b (*.f64 b 1/2))) (+.f64 2 b))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 b 4) 1/4)) (cbrt.f64 (.f64 1/2 (*.f64 b b))) (+.f64 2 b))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 2 b)) 2) (cbrt.f64 (+.f64 2 b)) (.f64 b (.f64 b 1/2)))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 2 (fma.f64 1/2 (*.f64 b b) b))
(fma.f64 (*.f64 b 1/2) b (+.f64 2 b))
(+.f64 2 (+.f64 b (.f64 1/2 (.f64 b b))))
(+.f64 2 (fma.f64 1/2 (*.f64 b b) b))

localize9.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.0b	(log.f64 (+.f64 2 (expm1.f64 b)))

Compiler

Compiled 15 to 9 computations (40% saved)

series19.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
12.0ms	b	@	inf	(log.f64 (+.f64 2 (expm1.f64 b)))
6.0ms	b	@	-inf	(log.f64 (+.f64 2 (expm1.f64 b)))
0.0ms	b	@	0	(log.f64 (+.f64 2 (expm1.f64 b)))

rewrite51.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1620×	`add-sqr-sqrt`
1598×	`*-un-lft-identity`
1494×	`add-cube-cbrt`
1480×	`add-cbrt-cube`
160×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	162	15
2	1959	15

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(log.f64 (+.f64 2 (expm1.f64 b)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (-.f64 (exp.f64 b) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (exp.f64 b) -1)) 2)) (log.f64 (cbrt.f64 (-.f64 (exp.f64 b) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (-.f64 (exp.f64 b) -1))) (log.f64 (sqrt.f64 (-.f64 (exp.f64 b) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 4 (pow.f64 (expm1.f64 b) 2))) (log.f64 (-.f64 2 (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 8 (pow.f64 (expm1.f64 b) 3))) (log.f64 (+.f64 4 (*.f64 (expm1.f64 b) (-.f64 (expm1.f64 b) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (-.f64 (exp.f64 b) -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (-.f64 (exp.f64 b) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (-.f64 (exp.f64 b) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (-.f64 (exp.f64 b) -1))) (sqrt.f64 (log.f64 (-.f64 (exp.f64 b) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (-.f64 (exp.f64 b) -1))) (pow.f64 (cbrt.f64 (log.f64 (-.f64 (exp.f64 b) -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (exp.f64 b) -1))) 2) (cbrt.f64 (log.f64 (-.f64 (exp.f64 b) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (-.f64 (exp.f64 b) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (-.f64 (exp.f64 b) -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (-.f64 (exp.f64 b) -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 b) -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 b) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 b) -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (-.f64 (exp.f64 b) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (-.f64 (exp.f64 b) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 (-.f64 (exp.f64 b) -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (-.f64 (exp.f64 b) -1) 1))))))

simplify55.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1324×	`fma-def`
1094×	`distribute-lft-in`
1002×	`*-commutative`
898×	`distribute-rgt-in`
890×	`associate-r`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	82	487
1	171	455
2	564	455
3	2827	443
4	6846	443

Stop Event

1×	node limit

Counts

33 → 44

Calls

Call 1

Inputs
(log.f64 2)
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 1/8 (pow.f64 b 2)) (log.f64 2)))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 1/8 (pow.f64 b 2)) (+.f64 (log.f64 2) (*.f64 -1/192 (pow.f64 b 4)))))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(+.f64 0 (log.f64 (-.f64 (exp.f64 b) -1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (exp.f64 b) -1)) 2)) (log.f64 (cbrt.f64 (-.f64 (exp.f64 b) -1))))
(+.f64 (log.f64 (sqrt.f64 (-.f64 (exp.f64 b) -1))) (log.f64 (sqrt.f64 (-.f64 (exp.f64 b) -1))))
(-.f64 (log.f64 (-.f64 4 (pow.f64 (expm1.f64 b) 2))) (log.f64 (-.f64 2 (expm1.f64 b))))
(-.f64 (log.f64 (+.f64 8 (pow.f64 (expm1.f64 b) 3))) (log.f64 (+.f64 4 (*.f64 (expm1.f64 b) (-.f64 (expm1.f64 b) 2)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (-.f64 (exp.f64 b) -1)))) 1)
(*.f64 (log.f64 (-.f64 (exp.f64 b) -1)) 1)
(*.f64 1 (log.f64 (-.f64 (exp.f64 b) -1)))
(*.f64 (sqrt.f64 (log.f64 (-.f64 (exp.f64 b) -1))) (sqrt.f64 (log.f64 (-.f64 (exp.f64 b) -1))))
(*.f64 (cbrt.f64 (log.f64 (-.f64 (exp.f64 b) -1))) (pow.f64 (cbrt.f64 (log.f64 (-.f64 (exp.f64 b) -1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (exp.f64 b) -1))) 2) (cbrt.f64 (log.f64 (-.f64 (exp.f64 b) -1))))
(pow.f64 (log.f64 (-.f64 (exp.f64 b) -1)) 1)
(pow.f64 (sqrt.f64 (log.f64 (-.f64 (exp.f64 b) -1))) 2)
(pow.f64 (cbrt.f64 (log.f64 (-.f64 (exp.f64 b) -1))) 3)
(pow.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 b) -1)) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 b) -1)) 2))
(cbrt.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 b) -1)) 3))
(expm1.f64 (log1p.f64 (log.f64 (-.f64 (exp.f64 b) -1))))
(exp.f64 (log.f64 (log.f64 (-.f64 (exp.f64 b) -1))))
(exp.f64 (*.f64 (log.f64 (log.f64 (-.f64 (exp.f64 b) -1))) 1))
(log1p.f64 (-.f64 (-.f64 (exp.f64 b) -1) 1))

Outputs
(log.f64 2)
(+.f64 (*.f64 1/2 b) (log.f64 2))
(fma.f64 1/2 b (log.f64 2))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 1/8 (pow.f64 b 2)) (log.f64 2)))
(fma.f64 1/2 b (fma.f64 1/8 (*.f64 b b) (log.f64 2)))
(fma.f64 b (*.f64 b 1/8) (fma.f64 1/2 b (log.f64 2)))
(fma.f64 b (fma.f64 b 1/8 1/2) (log.f64 2))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 1/8 (pow.f64 b 2)) (+.f64 (log.f64 2) (*.f64 -1/192 (pow.f64 b 4)))))
(fma.f64 1/2 b (+.f64 (fma.f64 1/8 (.f64 b b) (log.f64 2)) (.f64 -1/192 (pow.f64 b 4))))
(fma.f64 1/2 b (fma.f64 1/8 (*.f64 b b) (fma.f64 -1/192 (pow.f64 b 4) (log.f64 2))))
(fma.f64 1/2 b (fma.f64 b (*.f64 b 1/8) (fma.f64 -1/192 (pow.f64 b 4) (log.f64 2))))
(fma.f64 -1/192 (pow.f64 b 4) (fma.f64 b (fma.f64 b 1/8 1/2) (log.f64 2)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(+.f64 0 (log.f64 (-.f64 (exp.f64 b) -1)))
(log1p.f64 (exp.f64 b))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (exp.f64 b) -1)) 2)) (log.f64 (cbrt.f64 (-.f64 (exp.f64 b) -1))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2)) (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 b)))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 b)))))
(*.f64 (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 b)))) 3)
(*.f64 (log.f64 (cbrt.f64 (+.f64 2 (expm1.f64 b)))) 3)
(+.f64 (log.f64 (sqrt.f64 (-.f64 (exp.f64 b) -1))) (log.f64 (sqrt.f64 (-.f64 (exp.f64 b) -1))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 b)))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 2 (expm1.f64 b)))))
(-.f64 (log.f64 (-.f64 4 (pow.f64 (expm1.f64 b) 2))) (log.f64 (-.f64 2 (expm1.f64 b))))
(-.f64 (log.f64 (+.f64 8 (pow.f64 (expm1.f64 b) 3))) (log.f64 (+.f64 4 (*.f64 (expm1.f64 b) (-.f64 (expm1.f64 b) 2)))))
(-.f64 (log.f64 (+.f64 8 (pow.f64 (expm1.f64 b) 3))) (log.f64 (+.f64 4 (*.f64 (expm1.f64 b) (+.f64 (expm1.f64 b) -2)))))
(-.f64 (log.f64 (+.f64 8 (pow.f64 (expm1.f64 b) 3))) (log.f64 (fma.f64 (expm1.f64 b) (+.f64 (expm1.f64 b) -2) 4)))
(-.f64 (log.f64 (+.f64 8 (pow.f64 (expm1.f64 b) 3))) (log.f64 (fma.f64 (expm1.f64 b) (+.f64 (exp.f64 b) -3) 4)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (-.f64 (exp.f64 b) -1)))) 1)
(log1p.f64 (exp.f64 b))
(*.f64 (log.f64 (-.f64 (exp.f64 b) -1)) 1)
(log1p.f64 (exp.f64 b))
(*.f64 1 (log.f64 (-.f64 (exp.f64 b) -1)))
(log1p.f64 (exp.f64 b))
(*.f64 (sqrt.f64 (log.f64 (-.f64 (exp.f64 b) -1))) (sqrt.f64 (log.f64 (-.f64 (exp.f64 b) -1))))
(log1p.f64 (exp.f64 b))
(*.f64 (cbrt.f64 (log.f64 (-.f64 (exp.f64 b) -1))) (pow.f64 (cbrt.f64 (log.f64 (-.f64 (exp.f64 b) -1))) 2))
(log1p.f64 (exp.f64 b))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (exp.f64 b) -1))) 2) (cbrt.f64 (log.f64 (-.f64 (exp.f64 b) -1))))
(log1p.f64 (exp.f64 b))
(pow.f64 (log.f64 (-.f64 (exp.f64 b) -1)) 1)
(log1p.f64 (exp.f64 b))
(pow.f64 (sqrt.f64 (log.f64 (-.f64 (exp.f64 b) -1))) 2)
(log1p.f64 (exp.f64 b))
(pow.f64 (cbrt.f64 (log.f64 (-.f64 (exp.f64 b) -1))) 3)
(log1p.f64 (exp.f64 b))
(pow.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 b) -1)) 3) 1/3)
(log1p.f64 (exp.f64 b))
(sqrt.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 b) -1)) 2))
(log1p.f64 (exp.f64 b))
(cbrt.f64 (pow.f64 (log.f64 (-.f64 (exp.f64 b) -1)) 3))
(log1p.f64 (exp.f64 b))
(expm1.f64 (log1p.f64 (log.f64 (-.f64 (exp.f64 b) -1))))
(log1p.f64 (exp.f64 b))
(exp.f64 (log.f64 (log.f64 (-.f64 (exp.f64 b) -1))))
(log1p.f64 (exp.f64 b))
(exp.f64 (*.f64 (log.f64 (log.f64 (-.f64 (exp.f64 b) -1))) 1))
(log1p.f64 (exp.f64 b))
(log1p.f64 (-.f64 (-.f64 (exp.f64 b) -1) 1))
(log1p.f64 (exp.f64 b))

eval280.0ms (1.6%)

Compiler: Compiled 18400 to 11354 computations (38.3% saved)

prune179.0ms (1%)

Pruning

22 alts after pruning (15 fresh and 7 done)

	Pruned	Kept	Total
New	727	10	737
Fresh	2	5	7
Picked	0	1	1
Done	1	6	7
Total	730	22	752

Error

0.8b

Counts

752 → 22

Alt Table

Click to see full alt table

Status	Error	Program
▶	33.3b	(/.f64 b (+.f64 1 (exp.f64 a)))
▶	1.7b	(/.f64 1 (/.f64 1 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
	30.6b	(-.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 1)
	30.7b	(+.f64 (*.f64 1/2 b) (log.f64 2))
✓	31.1b	(+.f64 (*.f64 1/2 a) (log.f64 2))
✓	1.7b	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
	25.1b	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b 2))
	1.9b	(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))))
	27.2b	(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))))
	2.3b	(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (.f64 1 (/.f64 (.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 4) 1/18) (pow.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 4) 1/18)) 1) (/.f64 (+.f64 1 (exp.f64 a)) b))))
▶	62.3b	(*.f64 1/2 a)
	30.7b	(log1p.f64 (+.f64 (+.f64 b (.f64 b (.f64 b 1/2))) 1))
✓	1.3b	(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
▶	30.1b	(log1p.f64 (exp.f64 b))
✓	29.4b	(log1p.f64 (exp.f64 a))
	30.7b	(log.f64 (-.f64 (/.f64 4 (-.f64 2 b)) (-.f64 (/.f64 (.f64 b b) (-.f64 2 b)) (.f64 b (*.f64 b 1/2)))))
✓	30.7b	(log.f64 (+.f64 (+.f64 2 b) (.f64 1/2 (.f64 b b))))
✓	30.1b	(log.f64 (+.f64 2 (expm1.f64 b)))
	30.8b	(log.f64 (+.f64 2 b))
✓	31.1b	(log.f64 2)
	1.9b	(expm1.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
▶	18.4b	(exp.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))

Compiler

Compiled 438 to 332 computations (24.2% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 b (+.f64 (exp.f64 a) 1))
✓	0.0b	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))
✓	0.0b	(/.f64 1 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))
✓	0.1b	(/.f64 1 (/.f64 1 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))

Compiler

Compiled 56 to 28 computations (50% saved)

series9.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
2.0ms	a	@	0	(/.f64 1 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))
1.0ms	b	@	0	(/.f64 1 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))
1.0ms	b	@	inf	(/.f64 1 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))
1.0ms	a	@	inf	(/.f64 1 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))
1.0ms	a	@	-inf	(/.f64 1 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))

rewrite116.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1548×	`associate-/r*`
922×	`associate-/l*`
856×	`distribute-lft-in`
800×	`associate-/r/`
330×	`associate-/l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	116
1	283	116
2	3568	116

Stop Event

1×	node limit

Counts

4 → 321

Calls

Call 1

Inputs
(/.f64 1 (/.f64 1 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(/.f64 1 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))
(/.f64 b (+.f64 (exp.f64 a) 1))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 a)))) (+.f64 (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 a)))) (/.f64 b (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)) (+.f64 (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 a)))) (/.f64 b (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 0) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 a))))) (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2))) (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 -1 (neg.f64 (log1p.f64 (exp.f64 a)))) (.f64 -1 (neg.f64 (/.f64 b (+.f64 1 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 -1 (neg.f64 (/.f64 b (+.f64 1 (exp.f64 a))))) (.f64 -1 (neg.f64 (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 1 (exp.f64 (.f64 a 3)))) (-.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (-.f64 1 (exp.f64 a)))) (/.f64 b (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (fma.f64 (exp.f64 a) (exp.f64 a) -1)) (-.f64 (log.f64 (expm1.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 a)))) (-.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 b (+.f64 1 (exp.f64 a))))) (-.f64 1 (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))) (/.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (log1p.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log.f64 (+.f64 1 (exp.f64 (.f64 a 3))))) (log.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (-.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log.f64 (fma.f64 (exp.f64 a) (exp.f64 a) -1))) (log.f64 (expm1.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (neg.f64 (neg.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))) (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))) 2) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2)) (/.f64 1 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (neg.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) -2))) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) -1/2) -1) (pow.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) -1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 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((x exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))))))

simplify174.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1100×	`associate-r`
856×	`associate-/l*`
816×	`associate-l`
780×	`*-commutative`
588×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	778	27567
1	2198	27115

Stop Event

1×	node limit

Counts

417 → 479

Calls

Call 1

Inputs
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (.f64 1/2 b) (+.f64 (.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (.f64 1/8 b) (.f64 -1/8 b)))) (log.f64 2))))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (.f64 1/2 b) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (.f64 1/24 b) (+.f64 (.f64 -1/16 b) (.f64 -1/2 (+.f64 (.f64 1/8 b) (.f64 -1/8 b))))))) (+.f64 (.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(log.f64 (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
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(/.f64 (/.f64 -1 (neg.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) -1/2))) (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) -1/2))
(/.f64 (/.f64 -1 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) -2)))) (cbrt.f64 (/.f64 1 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))))
(/.f64 (/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) -2))) 1) (cbrt.f64 (/.f64 1 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))))
(/.f64 (/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) -2))) (sqrt.f64 (cbrt.f64 (/.f64 1 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))))) (sqrt.f64 (cbrt.f64 (/.f64 1 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))))
(/.f64 (/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) -2))) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) -2)))) (cbrt.f64 (cbrt.f64 (/.f64 1 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))))
(/.f64 (/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) -2))) (cbrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) -1/2))) (cbrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) -1/2)))
(/.f64 (/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) -2))) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 1 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))) (cbrt.f64 (cbrt.f64 (/.f64 1 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))))) (cbrt.f64 (cbrt.f64 (/.f64 1 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))))
(pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) 1)
(pow.f64 (/.f64 1 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))) -1)
(pow.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))) 2)
(pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))) 3)
(pow.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) 2))
(log.f64 (exp.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))))
(cbrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))) 3))
(expm1.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))
(exp.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))
(exp.f64 (*.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))) 1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))) -1))
(log1p.f64 (expm1.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))
(fma.f64 1 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(fma.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 b (/.f64 1 (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 2) (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2) (cbrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (.f64 (/.f64 b (fma.f64 (exp.f64 a) (exp.f64 a) -1)) (exp.f64 a)) (.f64 (/.f64 b (fma.f64 (exp.f64 a) (exp.f64 a) -1)) -1))
(+.f64 (.f64 (/.f64 b (+.f64 1 (exp.f64 (.f64 a 3)))) (pow.f64 (exp.f64 a) 2)) (.f64 (/.f64 b (+.f64 1 (exp.f64 (.f64 a 3)))) (-.f64 1 (exp.f64 a))))
(+.f64 (.f64 (/.f64 b (+.f64 1 (exp.f64 (.f64 a 3)))) (-.f64 1 (exp.f64 a))) (.f64 (/.f64 b (+.f64 1 (exp.f64 (.f64 a 3)))) (pow.f64 (exp.f64 a) 2)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 b (+.f64 1 (exp.f64 a))))) 1)
(*.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))
(*.f64 b (/.f64 1 (+.f64 1 (exp.f64 a))))
(*.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1)
(.f64 (sqrt.f64 b) (.f64 (sqrt.f64 b) (/.f64 1 (+.f64 1 (exp.f64 a)))))
(*.f64 (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))
(.f64 (pow.f64 (cbrt.f64 b) 2) (.f64 (cbrt.f64 b) (/.f64 1 (+.f64 1 (exp.f64 a)))))
(*.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 2) (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) b)
(*.f64 (neg.f64 b) (/.f64 1 (-.f64 -1 (exp.f64 a))))
(*.f64 (/.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 a)))) (/.f64 b (hypot.f64 1 (sqrt.f64 (exp.f64 a)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)) (/.f64 b (cbrt.f64 (+.f64 1 (exp.f64 a)))))
(*.f64 (/.f64 b 1) (/.f64 1 (+.f64 1 (exp.f64 a))))
(.f64 (/.f64 1 (fma.f64 (exp.f64 a) (exp.f64 a) -1)) (.f64 b (expm1.f64 a)))
(.f64 (/.f64 1 (+.f64 1 (exp.f64 (.f64 a 3)))) (*.f64 b (+.f64 (pow.f64 (exp.f64 a) 2) (-.f64 1 (exp.f64 a)))))
(*.f64 (/.f64 b (fma.f64 (exp.f64 a) (exp.f64 a) -1)) (expm1.f64 a))
(.f64 (/.f64 b (+.f64 1 (exp.f64 (.f64 a 3)))) (+.f64 (pow.f64 (exp.f64 a) 2) (-.f64 1 (exp.f64 a))))
(*.f64 (/.f64 1 (-.f64 -1 (exp.f64 a))) (neg.f64 b))
(*.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) (+.f64 1 (exp.f64 a))))
(*.f64 (/.f64 (sqrt.f64 b) (+.f64 1 (exp.f64 a))) (sqrt.f64 b))
(*.f64 (/.f64 (sqrt.f64 b) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)) (/.f64 (sqrt.f64 b) (cbrt.f64 (+.f64 1 (exp.f64 a)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) 1) (/.f64 (cbrt.f64 b) (+.f64 1 (exp.f64 a))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (hypot.f64 1 (sqrt.f64 (exp.f64 a)))) (/.f64 (cbrt.f64 b) (hypot.f64 1 (sqrt.f64 (exp.f64 a)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)) (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))
(*.f64 (/.f64 (/.f64 b 1) 1) (/.f64 1 (+.f64 1 (exp.f64 a))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (+.f64 1 (exp.f64 a))) (cbrt.f64 b))
(*.f64 (/.f64 b (neg.f64 (fma.f64 (exp.f64 a) (exp.f64 a) -1))) (neg.f64 (expm1.f64 a)))
(.f64 (/.f64 b (neg.f64 (+.f64 1 (exp.f64 (.f64 a 3))))) (neg.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (-.f64 1 (exp.f64 a)))))
(*.f64 (/.f64 1 (/.f64 (+.f64 1 (exp.f64 a)) (pow.f64 (cbrt.f64 b) 2))) (cbrt.f64 b))
(*.f64 (/.f64 b (-.f64 1 (pow.f64 (exp.f64 a) 2))) (-.f64 1 (exp.f64 a)))
(*.f64 (/.f64 (neg.f64 b) (neg.f64 (fma.f64 (exp.f64 a) (exp.f64 a) -1))) (expm1.f64 a))
(.f64 (/.f64 (neg.f64 b) (neg.f64 (+.f64 1 (exp.f64 (.f64 a 3))))) (+.f64 (pow.f64 (exp.f64 a) 2) (-.f64 1 (exp.f64 a))))
(*.f64 (/.f64 (/.f64 b 1) (neg.f64 (fma.f64 (exp.f64 a) (exp.f64 a) -1))) (neg.f64 (expm1.f64 a)))
(.f64 (/.f64 (/.f64 b 1) (neg.f64 (+.f64 1 (exp.f64 (.f64 a 3))))) (neg.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (-.f64 1 (exp.f64 a)))))
(*.f64 (/.f64 (/.f64 b 1) (-.f64 1 (pow.f64 (exp.f64 a) 2))) (-.f64 1 (exp.f64 a)))
(.f64 (/.f64 (/.f64 b (hypot.f64 1 (sqrt.f64 (exp.f64 a)))) (sqrt.f64 (+.f64 1 (exp.f64 (.f64 a 3))))) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (-.f64 1 (exp.f64 a)))))
(*.f64 (/.f64 (/.f64 b (hypot.f64 1 (sqrt.f64 (exp.f64 a)))) (sqrt.f64 (fma.f64 (exp.f64 a) (exp.f64 a) -1))) (sqrt.f64 (expm1.f64 a)))
(.f64 (/.f64 (/.f64 b (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)) (cbrt.f64 (+.f64 1 (exp.f64 (.f64 a 3))))) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (-.f64 1 (exp.f64 a)))))
(*.f64 (/.f64 (/.f64 b (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)) (cbrt.f64 (fma.f64 (exp.f64 a) (exp.f64 a) -1))) (cbrt.f64 (expm1.f64 a)))
(pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1)
(pow.f64 (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 2)
(pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 3)
(pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) -1)
(pow.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3) 1/3)
(neg.f64 (/.f64 b (-.f64 -1 (exp.f64 a))))
(sqrt.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2))
(log.f64 (exp.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 b (+.f64 1 (exp.f64 a))))))
(cbrt.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3))
(expm1.f64 (log1p.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))
(exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))
(exp.f64 (*.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))) 1))
(log1p.f64 (expm1.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))

Outputs
(+.f64 (*.f64 1/2 b) (log.f64 2))
(fma.f64 1/2 b (log.f64 2))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(fma.f64 (-.f64 1/2 (*.f64 b 1/4)) a (fma.f64 1/2 b (log.f64 2)))
(fma.f64 (+.f64 1/2 (*.f64 b -1/4)) a (fma.f64 1/2 b (log.f64 2)))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (.f64 1/2 b) (+.f64 (.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (.f64 1/8 b) (.f64 -1/8 b)))) (log.f64 2))))
(fma.f64 (-.f64 1/2 (.f64 b 1/4)) a (fma.f64 1/2 b (fma.f64 (.f64 a a) (-.f64 1/8 (*.f64 b 0)) (log.f64 2))))
(fma.f64 (+.f64 1/2 (.f64 b -1/4)) a (fma.f64 1/2 b (fma.f64 (.f64 a a) (+.f64 1/8 (*.f64 b 0)) (log.f64 2))))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (.f64 1/2 b) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (.f64 1/24 b) (+.f64 (.f64 -1/16 b) (.f64 -1/2 (+.f64 (.f64 1/8 b) (.f64 -1/8 b))))))) (+.f64 (.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2)))))
(fma.f64 (-.f64 1/2 (.f64 b 1/4)) a (fma.f64 1/2 b (fma.f64 -1 (.f64 (pow.f64 a 3) (fma.f64 1/24 b (fma.f64 -1/16 b (.f64 (.f64 b 0) -1/2)))) (fma.f64 (.f64 a a) (-.f64 1/8 (.f64 b 0)) (log.f64 2)))))
(fma.f64 (+.f64 1/2 (.f64 b -1/4)) a (fma.f64 1/2 b (fma.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (.f64 b 0) (.f64 b -1/48))) (fma.f64 (.f64 a a) (+.f64 1/8 (.f64 b 0)) (log.f64 2)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2)))
(/.f64 1 (fma.f64 1/2 b (log.f64 2)))
(+.f64 (.f64 a (-.f64 (.f64 1/4 (/.f64 b (pow.f64 (+.f64 (.f64 1/2 b) (log.f64 2)) 2))) (.f64 1/2 (/.f64 1 (pow.f64 (+.f64 (.f64 1/2 b) (log.f64 2)) 2))))) (/.f64 1 (+.f64 (.f64 1/2 b) (log.f64 2))))
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(*.f64 (/.f64 (/.f64 b (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)))) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (-.f64 1 (exp.f64 a)))))
(.f64 (/.f64 b (.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))))) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (-.f64 1 (exp.f64 a)))))
(*.f64 (/.f64 (/.f64 b (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)) (cbrt.f64 (fma.f64 (exp.f64 a) (exp.f64 a) -1))) (cbrt.f64 (expm1.f64 a)))
(.f64 (/.f64 b (.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 a) 2) -1)) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2))) (cbrt.f64 (expm1.f64 a)))
(.f64 (/.f64 b (.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2) (cbrt.f64 (+.f64 -1 (pow.f64 (exp.f64 a) 2))))) (cbrt.f64 (expm1.f64 a)))
(pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1)
(/.f64 b (+.f64 1 (exp.f64 a)))
(pow.f64 (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 2)
(/.f64 b (+.f64 1 (exp.f64 a)))
(pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 3)
(/.f64 b (+.f64 1 (exp.f64 a)))
(pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) -1)
(/.f64 b (+.f64 1 (exp.f64 a)))
(pow.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3) 1/3)
(/.f64 b (+.f64 1 (exp.f64 a)))
(neg.f64 (/.f64 b (-.f64 -1 (exp.f64 a))))
(/.f64 (*.f64 1 (neg.f64 b)) (-.f64 -1 (exp.f64 a)))
(/.f64 (neg.f64 b) (-.f64 -1 (exp.f64 a)))
(sqrt.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2))
(log.f64 (exp.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 b (+.f64 1 (exp.f64 a))))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(cbrt.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3))
(/.f64 b (+.f64 1 (exp.f64 a)))
(expm1.f64 (log1p.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))
(exp.f64 (*.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))) 1))
(exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))
(log1p.f64 (expm1.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))
(/.f64 b (+.f64 1 (exp.f64 a)))

localize3.0ms (0%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(+.f64 1 (exp.f64 a))
	0.0b	(/.f64 b (+.f64 1 (exp.f64 a)))

Compiler

Compiled 17 to 9 computations (47.1% saved)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.0b	(log1p.f64 (exp.f64 b))

Compiler

Compiled 8 to 4 computations (50% saved)

series6.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
6.0ms	b	@	inf	(log1p.f64 (exp.f64 b))
0.0ms	b	@	0	(log1p.f64 (exp.f64 b))
0.0ms	b	@	-inf	(log1p.f64 (exp.f64 b))

rewrite45.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1072×	`associate-r`
840×	`add-sqr-sqrt`
830×	`*-un-lft-identity`
784×	`pow1`
766×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	9
1	95	9
2	1063	9

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

Inputs
(log1p.f64 (exp.f64 b))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (sqrt.f64 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (cbrt.f64 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))))) (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (cbrt.f64 (log1p.f64 (exp.f64 b)))) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))))) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))))) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (exp.f64 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (exp.f64 b))))))))

simplify58.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1254×	`associate-r`
1122×	`associate-l`
822×	`associate-+l+`
800×	`associate-+r+`
796×	`log-prod`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	78	536
1	176	532
2	593	532
3	3646	502
4	6980	502

Stop Event

1×	node limit

Counts

36 → 43

Calls

Call 1

Inputs
(log.f64 2)
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 1/8 (pow.f64 b 2)) (log.f64 2)))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 1/8 (pow.f64 b 2)) (+.f64 (log.f64 2) (*.f64 -1/192 (pow.f64 b 4)))))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(-.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 1)
(*.f64 (log1p.f64 (exp.f64 b)) 1)
(*.f64 1 (log1p.f64 (exp.f64 b)))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (sqrt.f64 (log1p.f64 (exp.f64 b))))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (cbrt.f64 (log1p.f64 (exp.f64 b))))
(.f64 (.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))))) (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 b)))))
(.f64 (.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (cbrt.f64 (log1p.f64 (exp.f64 b)))) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 b)))))
(.f64 (.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))))
(.f64 (.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)))
(.f64 (.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))))) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))))) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 b)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))))
(pow.f64 (log1p.f64 (exp.f64 b)) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 3)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2))
(log.f64 (+.f64 (exp.f64 b) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 b))))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 b))))

Outputs
(log.f64 2)
(+.f64 (*.f64 1/2 b) (log.f64 2))
(fma.f64 1/2 b (log.f64 2))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 1/8 (pow.f64 b 2)) (log.f64 2)))
(fma.f64 1/2 b (fma.f64 1/8 (*.f64 b b) (log.f64 2)))
(fma.f64 1/2 b (fma.f64 b (*.f64 b 1/8) (log.f64 2)))
(+.f64 (.f64 1/2 b) (+.f64 (.f64 1/8 (pow.f64 b 2)) (+.f64 (log.f64 2) (*.f64 -1/192 (pow.f64 b 4)))))
(fma.f64 1/2 b (+.f64 (fma.f64 1/8 (.f64 b b) (log.f64 2)) (.f64 -1/192 (pow.f64 b 4))))
(fma.f64 1/2 b (fma.f64 1/8 (*.f64 b b) (fma.f64 -1/192 (pow.f64 b 4) (log.f64 2))))
(fma.f64 1/2 b (fma.f64 b (*.f64 b 1/8) (fma.f64 -1/192 (pow.f64 b 4) (log.f64 2))))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(-.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 1)
(log1p.f64 (exp.f64 b))
(*.f64 (log1p.f64 (exp.f64 b)) 1)
(log1p.f64 (exp.f64 b))
(*.f64 1 (log1p.f64 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (sqrt.f64 (log1p.f64 (exp.f64 b))))
(log1p.f64 (exp.f64 b))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))
(log1p.f64 (exp.f64 b))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (cbrt.f64 (log1p.f64 (exp.f64 b))))
(log1p.f64 (exp.f64 b))
(.f64 (.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))))) (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 b)))))
(log1p.f64 (exp.f64 b))
(.f64 (.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (cbrt.f64 (log1p.f64 (exp.f64 b)))) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 b)))))
(.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 5/2) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 b)))))
(.f64 (.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))))
(log1p.f64 (exp.f64 b))
(.f64 (.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)))
(log1p.f64 (exp.f64 b))
(.f64 (.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)))
(log1p.f64 (exp.f64 b))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))))) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))))
(log1p.f64 (exp.f64 b))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))))
(log1p.f64 (exp.f64 b))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))))) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 b)))))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 b)))) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))))))
(.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 b)))) (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)) (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))))))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)) 4))
(pow.f64 (log1p.f64 (exp.f64 b)) 1)
(log1p.f64 (exp.f64 b))
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) 2)
(log1p.f64 (exp.f64 b))
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 3)
(log1p.f64 (exp.f64 b))
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3) 1/3)
(log1p.f64 (exp.f64 b))
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 (exp.f64 b) 1))
(log1p.f64 (exp.f64 b))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3))
(log1p.f64 (exp.f64 b))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 b))))
(log1p.f64 (exp.f64 b))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 b))))
(log1p.f64 (exp.f64 b))

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 b (+.f64 (exp.f64 a) 1))
	0.0b	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))
✓	0.0b	(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))
✓	1.3b	(exp.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))

Compiler

Compiled 53 to 25 computations (52.8% saved)

series41.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
19.0ms	a	@	-inf	(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))
15.0ms	a	@	inf	(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))
2.0ms	b	@	inf	(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))
1.0ms	a	@	0	(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))
1.0ms	b	@	0	(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))

rewrite80.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1568×	`associate-*r/`
1120×	`*-commutative`
1006×	`associate-*l/`
948×	`associate-/r*`
686×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	66
1	257	66
2	3255	66

Stop Event

1×	node limit

Counts

2 → 111

Calls

Call 1

Inputs
(exp.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1))) (+.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1))) (/.f64 b (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (+.f64 (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1))) (/.f64 b (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 0) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1))))))) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) (log.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 2)) (log.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))) (log.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 2))) (log.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3))) (log.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2))) (log.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (log.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)))) (log.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (log.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)))) (log.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) (sqrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) 2) (cbrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (log1p.f64 (exp.f64 a)) 1)))))))

simplify111.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1280×	`associate-+r+`
1000×	`associate-/l/`
908×	`associate-/r/`
904×	`+-commutative`
366×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	419	10391
1	1164	9847
2	4737	9847

Stop Event

1×	node limit

Counts

159 → 234

Calls

Call 1

Inputs
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (.f64 1/2 b) (+.f64 (.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (.f64 1/8 b) (.f64 -1/8 b)))) (log.f64 2))))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (.f64 1/2 b) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (.f64 1/24 b) (+.f64 (.f64 -1/16 b) (.f64 -1/2 (+.f64 (.f64 1/8 b) (.f64 -1/8 b))))))) (+.f64 (.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2)))))
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(/.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 2) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 2) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)))) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) 1) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2))) 1) (neg.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3))) 1) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3))) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2))) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3))) (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 2)) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2))) (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 2)) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (/.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3) (/.f64 (+.f64 (exp.f64 a) 1) b))) (/.f64 1 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) 3) (pow.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2) 3)) (/.f64 1 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) (+.f64 (.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (+.f64 (/.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3) (/.f64 (+.f64 (exp.f64 a) 1) b)) (*.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3)) (.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3))) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) 3) (pow.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))))) (-.f64 (+.f64 (.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3)) (.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) 3))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)) 1) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)) (*.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)) (+.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))) (-.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)) 1) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))
(pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 1)
(pow.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 2)
(pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 3)
(pow.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 3) 1/3)
(pow.f64 (E.f64) (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) 2)) (cbrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))) (sqrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))
(sqrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 2))
(log.f64 (exp.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))
(cbrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 3))
(expm1.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(log1p.f64 (expm1.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(fma.f64 b (/.f64 1 (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))
(fma.f64 1 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))
(fma.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 (exp.f64 a) 1)))
(fma.f64 (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))
(fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (cbrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 (exp.f64 a) 1)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 2) (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 0)
(+.f64 0 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 2)))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) (log.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 2)) (log.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))) (log.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 2))) (log.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3))) (log.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2))) (log.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))) 1)
(-.f64 (+.f64 0 (log.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)))) (log.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))
(-.f64 (+.f64 0 (log.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)))) (log.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))) 1)
(*.f64 1 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(*.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 1)
(*.f64 (sqrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) (sqrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))
(*.f64 (cbrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) 2) (cbrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))
(pow.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 1)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) 2)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))
(exp.f64 (log.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))
(log1p.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (log1p.f64 (exp.f64 a)) 1)))

Outputs
(+.f64 (*.f64 1/2 b) (log.f64 2))
(fma.f64 1/2 b (log.f64 2))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(fma.f64 (+.f64 1/2 (*.f64 -1/4 b)) a (fma.f64 1/2 b (log.f64 2)))
(fma.f64 (+.f64 1/2 (*.f64 b -1/4)) a (fma.f64 1/2 b (log.f64 2)))
(+.f64 (.f64 (-.f64 1/2 (.f64 1/4 b)) a) (+.f64 (.f64 1/2 b) (+.f64 (.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (.f64 1/8 b) (.f64 -1/8 b)))) (log.f64 2))))
(fma.f64 (+.f64 1/2 (.f64 -1/4 b)) a (fma.f64 1/2 b (fma.f64 (.f64 a a) (-.f64 1/8 (*.f64 b 0)) (log.f64 2))))
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(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 (exp.f64 a) 1)))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(fma.f64 (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (cbrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 (exp.f64 a) 1)))
(fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (cbrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 2) (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 0)
(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 0 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 2)))
(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) (log.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))
(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 2)) (log.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))
(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))) (log.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))
(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 2))) (log.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))
(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(-.f64 (log.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3))) (log.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3))) (log.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3))) (log.f64 (fma.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) 2))))
(-.f64 (log.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2))) (log.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(-.f64 (log.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2))) (log.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))) 1)
(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(-.f64 (+.f64 0 (log.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)))) (log.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3))) (log.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3))) (log.f64 (fma.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) 2))))
(-.f64 (+.f64 0 (log.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)))) (log.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(-.f64 (log.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2))) (log.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))) 1)
(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(*.f64 1 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(*.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 1)
(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) (sqrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))
(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(*.f64 (cbrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) 2))
(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) 2) (cbrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))
(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(pow.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 1)
(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) 2)
(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) 3)
(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(pow.f64 (pow.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 3) 1/3)
(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 2))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))) 2))
(fabs.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 3))
(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))
(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(exp.f64 (log.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))
(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(log1p.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (log1p.f64 (exp.f64 a)) 1)))
(log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (+.f64 (log1p.f64 (exp.f64 a)) -1)))
(log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (+.f64 -1 (log1p.f64 (exp.f64 a)))))
(log1p.f64 (+.f64 -1 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))

eval541.0ms (3.1%)

Compiler: Compiled 37197 to 22051 computations (40.7% saved)

prune278.0ms (1.6%)

Pruning

27 alts after pruning (18 fresh and 9 done)

	Pruned	Kept	Total
New	1204	9	1213
Fresh	1	9	10
Picked	1	0	1
Done	2	9	11
Total	1208	27	1235

Error

0.8b

Counts

1235 → 27

Alt Table

Click to see full alt table

Status	Error	Program
	60.7b	(/.f64 b (+.f64 2 a))
✓	33.3b	(/.f64 b (+.f64 1 (exp.f64 a)))
	56.7b	(/.f64 b 2)
	48.1b	(/.f64 1 (fma.f64 -1 (/.f64 (.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (log1p.f64 (exp.f64 a))) (.f64 b b)) (+.f64 (/.f64 (exp.f64 a) b) (/.f64 1 b))))
	30.7b	(/.f64 1 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))))
	18.2b	(/.f64 1 (-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))) 1))
	28.7b	(/.f64 1 (log.f64 (exp.f64 (/.f64 1 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))))
	30.6b	(-.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 1)
	30.7b	(+.f64 (*.f64 1/2 b) (log.f64 2))
✓	31.1b	(+.f64 (*.f64 1/2 a) (log.f64 2))
✓	1.7b	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
	25.1b	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b 2))
	1.9b	(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))))
	27.2b	(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))))
	2.3b	(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (.f64 1 (/.f64 (.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 4) 1/18) (pow.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 4) 1/18)) 1) (/.f64 (+.f64 1 (exp.f64 a)) b))))
	60.5b	(.f64 b (+.f64 1/2 (.f64 a -1/4)))
	30.7b	(log1p.f64 (+.f64 (+.f64 b (.f64 b (.f64 b 1/2))) 1))
✓	1.3b	(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
✓	30.1b	(log1p.f64 (exp.f64 b))
✓	29.4b	(log1p.f64 (exp.f64 a))
	30.7b	(log.f64 (-.f64 (/.f64 4 (-.f64 2 b)) (-.f64 (/.f64 (.f64 b b) (-.f64 2 b)) (.f64 b (*.f64 b 1/2)))))
✓	30.7b	(log.f64 (+.f64 (+.f64 2 b) (.f64 1/2 (.f64 b b))))
✓	30.1b	(log.f64 (+.f64 2 (expm1.f64 b)))
	30.8b	(log.f64 (+.f64 2 b))
✓	31.1b	(log.f64 2)
	1.9b	(expm1.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
	30.8b	(exp.f64 (log.f64 (+.f64 (*.f64 1/2 b) (log.f64 2))))

Compiler

Compiled 321 to 247 computations (23.1% saved)

regimes59.0ms (0.3%)

Counts

38 → 1

Calls

Call 1

Inputs
(*.f64 1/2 a)
(/.f64 b 2)
(/.f64 b (+.f64 2 a))
(.f64 b (+.f64 1/2 (.f64 a -1/4)))
(log.f64 2)
(log.f64 (+.f64 2 b))
(+.f64 (*.f64 1/2 a) (log.f64 2))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(/.f64 b (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 (+.f64 2 b) (.f64 1/2 (.f64 b b))))
(log1p.f64 (+.f64 (+.f64 b (.f64 b (.f64 b 1/2))) 1))
(/.f64 1 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))))
(log.f64 (-.f64 (/.f64 4 (-.f64 2 b)) (-.f64 (/.f64 (.f64 b b) (-.f64 2 b)) (.f64 b (*.f64 b 1/2)))))
(log1p.f64 (exp.f64 a))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 2 (expm1.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b 2))
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 1)
(-.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 1)
(+.f64 (log.f64 1/2) (*.f64 -2 (log.f64 (/.f64 -1 b))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b))))))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(exp.f64 (log.f64 (+.f64 (*.f64 1/2 b) (log.f64 2))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 1 (/.f64 1 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3))
(exp.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(expm1.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))))
(/.f64 1 (log.f64 (exp.f64 (/.f64 1 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))))
(/.f64 1 (-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))) 1))
(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))))
(/.f64 1 (fma.f64 -1 (/.f64 (.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (log1p.f64 (exp.f64 a))) (.f64 b b)) (+.f64 (/.f64 (exp.f64 a) b) (/.f64 1 b))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (.f64 1 (/.f64 (.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 4) 1/18) (pow.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 4) 1/18)) 1) (/.f64 (+.f64 1 (exp.f64 a)) b))))

Outputs
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))

Calls

6 calls:

17.0ms	b
16.0ms	a
5.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
4.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
4.0ms	(exp.f64 b)

Results

Error	Segments	Branch
1.3b	1	`a`
1.3b	1	`b`
1.3b	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
1.3b	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
1.3b	1	`(exp.f64 a)`
1.3b	1	`(exp.f64 b)`

Compiler

Compiled 400 to 245 computations (38.8% saved)

regimes108.0ms (0.6%)

Counts

24 → 2

Calls

Call 1

Inputs
(*.f64 1/2 a)
(/.f64 b 2)
(/.f64 b (+.f64 2 a))
(.f64 b (+.f64 1/2 (.f64 a -1/4)))
(log.f64 2)
(log.f64 (+.f64 2 b))
(+.f64 (*.f64 1/2 a) (log.f64 2))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(/.f64 b (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 (+.f64 2 b) (.f64 1/2 (.f64 b b))))
(log1p.f64 (+.f64 (+.f64 b (.f64 b (.f64 b 1/2))) 1))
(/.f64 1 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))))
(log.f64 (-.f64 (/.f64 4 (-.f64 2 b)) (-.f64 (/.f64 (.f64 b b) (-.f64 2 b)) (.f64 b (*.f64 b 1/2)))))
(log1p.f64 (exp.f64 a))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 2 (expm1.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b 2))
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 1)
(-.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 1)
(+.f64 (log.f64 1/2) (*.f64 -2 (log.f64 (/.f64 -1 b))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b))))))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Outputs
(/.f64 b (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Calls

6 calls:

60.0ms	b
21.0ms	a
6.0ms	(exp.f64 b)
5.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
5.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

Results

Error	Segments	Branch
1.3b	2	`a`
18.3b	6	`b`
1.5b	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
1.5b	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
1.3b	2	`(exp.f64 a)`
24.1b	3	`(exp.f64 b)`

Compiler

Compiled 195 to 132 computations (32.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.1553968884111099e-12

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes71.0ms (0.4%)

Counts

23 → 2

Calls

Call 1

Inputs
(*.f64 1/2 a)
(/.f64 b 2)
(/.f64 b (+.f64 2 a))
(.f64 b (+.f64 1/2 (.f64 a -1/4)))
(log.f64 2)
(log.f64 (+.f64 2 b))
(+.f64 (*.f64 1/2 a) (log.f64 2))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(/.f64 b (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 (+.f64 2 b) (.f64 1/2 (.f64 b b))))
(log1p.f64 (+.f64 (+.f64 b (.f64 b (.f64 b 1/2))) 1))
(/.f64 1 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))))
(log.f64 (-.f64 (/.f64 4 (-.f64 2 b)) (-.f64 (/.f64 (.f64 b b) (-.f64 2 b)) (.f64 b (*.f64 b 1/2)))))
(log1p.f64 (exp.f64 a))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 2 (expm1.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b 2))
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 1)
(-.f64 (+.f64 (log1p.f64 (exp.f64 b)) 1) 1)
(+.f64 (log.f64 1/2) (*.f64 -2 (log.f64 (/.f64 -1 b))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b))))))

Outputs
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b 2))

Calls

4 calls:

38.0ms	b
20.0ms	a
4.0ms	(exp.f64 a)
3.0ms	(exp.f64 b)

Results

Error	Segments	Branch
1.8b	2	`a`
19.3b	4	`b`
1.8b	2	`(exp.f64 a)`
25.1b	1	`(exp.f64 b)`

Compiler

Compiled 174 to 119 computations (31.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.1553968884111099e-12

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes65.0ms (0.4%)

Counts

18 → 2

Calls

Call 1

Inputs
(*.f64 1/2 a)
(/.f64 b 2)
(/.f64 b (+.f64 2 a))
(.f64 b (+.f64 1/2 (.f64 a -1/4)))
(log.f64 2)
(log.f64 (+.f64 2 b))
(+.f64 (*.f64 1/2 a) (log.f64 2))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(/.f64 b (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 (+.f64 2 b) (.f64 1/2 (.f64 b b))))
(log1p.f64 (+.f64 (+.f64 b (.f64 b (.f64 b 1/2))) 1))
(/.f64 1 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))))
(log.f64 (-.f64 (/.f64 4 (-.f64 2 b)) (-.f64 (/.f64 (.f64 b b) (-.f64 2 b)) (.f64 b (*.f64 b 1/2)))))
(log1p.f64 (exp.f64 a))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 2 (expm1.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))

Outputs
(/.f64 b (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))

Calls

4 calls:

37.0ms	b
17.0ms	a
4.0ms	(exp.f64 a)
2.0ms	(exp.f64 b)

Results

Error	Segments	Branch
2.1b	2	`a`
21.0b	4	`b`
2.1b	2	`(exp.f64 a)`
28.8b	1	`(exp.f64 b)`

Compiler

Compiled 131 to 93 computations (29% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.1553968884111099e-12

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes72.0ms (0.4%)

Counts

17 → 3

Calls

Call 1

Inputs
(*.f64 1/2 a)
(/.f64 b 2)
(/.f64 b (+.f64 2 a))
(.f64 b (+.f64 1/2 (.f64 a -1/4)))
(log.f64 2)
(log.f64 (+.f64 2 b))
(+.f64 (*.f64 1/2 a) (log.f64 2))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(/.f64 b (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 (+.f64 2 b) (.f64 1/2 (.f64 b b))))
(log1p.f64 (+.f64 (+.f64 b (.f64 b (.f64 b 1/2))) 1))
(/.f64 1 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))))
(log.f64 (-.f64 (/.f64 4 (-.f64 2 b)) (-.f64 (/.f64 (.f64 b b) (-.f64 2 b)) (.f64 b (*.f64 b 1/2)))))
(log1p.f64 (exp.f64 a))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 2 (expm1.f64 b)))

Outputs
(/.f64 b (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 2 (expm1.f64 b)))

Calls

4 calls:

36.0ms	b
23.0ms	a
5.0ms	(exp.f64 a)
4.0ms	(exp.f64 b)

Results

Error	Segments	Branch
1.1b	3	`a`
21.0b	4	`b`
1.1b	3	`(exp.f64 a)`
28.3b	2	`(exp.f64 b)`

Compiler

Compiled 124 to 89 computations (28.2% saved)

bsearch44.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
4.0ms	-1.5720484112624688e-27	-4.2226082058484476e-35
39.0ms	-795.4080189673617	-27.486577204650832

Results

25.0ms	50×	body	1024	valid
9.0ms	32×	body	512	valid
8.0ms	62×	body	256	valid

Compiler

Compiled 146 to 118 computations (19.2% saved)

regimes79.0ms (0.5%)

Counts

16 → 3

Calls

Call 1

Inputs
(*.f64 1/2 a)
(/.f64 b 2)
(/.f64 b (+.f64 2 a))
(.f64 b (+.f64 1/2 (.f64 a -1/4)))
(log.f64 2)
(log.f64 (+.f64 2 b))
(+.f64 (*.f64 1/2 a) (log.f64 2))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(/.f64 b (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 (+.f64 2 b) (.f64 1/2 (.f64 b b))))
(log1p.f64 (+.f64 (+.f64 b (.f64 b (.f64 b 1/2))) 1))
(/.f64 1 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))))
(log.f64 (-.f64 (/.f64 4 (-.f64 2 b)) (-.f64 (/.f64 (.f64 b b) (-.f64 2 b)) (.f64 b (*.f64 b 1/2)))))
(log1p.f64 (exp.f64 a))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))

Outputs
(/.f64 b (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 b)))

Calls

4 calls:

43.0ms	b
22.0ms	a
5.0ms	(exp.f64 a)
5.0ms	(exp.f64 b)

Results

Error	Segments	Branch
1.1b	3	`a`
21.0b	4	`b`
1.1b	3	`(exp.f64 a)`
28.3b	2	`(exp.f64 b)`

Compiler

Compiled 119 to 85 computations (28.6% saved)

bsearch46.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
2.0ms	-1.5720484112624688e-27	-4.2226082058484476e-35
43.0ms	-795.4080189673617	-27.486577204650832

Results

32.0ms	61×	body	1024	valid
7.0ms	26×	body	512	valid
5.0ms	41×	body	256	valid

Compiler

Compiled 132 to 106 computations (19.7% saved)

regimes67.0ms (0.4%)

Counts

15 → 3

Calls

Call 1

Inputs
(*.f64 1/2 a)
(/.f64 b 2)
(/.f64 b (+.f64 2 a))
(.f64 b (+.f64 1/2 (.f64 a -1/4)))
(log.f64 2)
(log.f64 (+.f64 2 b))
(+.f64 (*.f64 1/2 a) (log.f64 2))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(/.f64 b (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 (+.f64 2 b) (.f64 1/2 (.f64 b b))))
(log1p.f64 (+.f64 (+.f64 b (.f64 b (.f64 b 1/2))) 1))
(/.f64 1 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))))
(log.f64 (-.f64 (/.f64 4 (-.f64 2 b)) (-.f64 (/.f64 (.f64 b b) (-.f64 2 b)) (.f64 b (*.f64 b 1/2)))))
(log1p.f64 (exp.f64 a))
(log1p.f64 (exp.f64 b))

Outputs
(/.f64 b (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log1p.f64 (exp.f64 b))

Calls

4 calls:

33.0ms	b
21.0ms	a
5.0ms	(exp.f64 a)
4.0ms	(exp.f64 b)

Results

Error	Segments	Branch
1.1b	3	`a`
21.0b	4	`b`
1.1b	3	`(exp.f64 a)`
28.3b	2	`(exp.f64 b)`

Compiler

Compiled 114 to 82 computations (28.1% saved)

bsearch44.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
2.0ms	-1.5720484112624688e-27	-4.2226082058484476e-35
42.0ms	-795.4080189673617	-27.486577204650832

Results

29.0ms	55×	body	1024	valid
8.0ms	30×	body	512	valid
5.0ms	43×	body	256	valid

Compiler

Compiled 130 to 104 computations (20% saved)

regimes53.0ms (0.3%)

Counts

14 → 2

Calls

Call 1

Inputs
(*.f64 1/2 a)
(/.f64 b 2)
(/.f64 b (+.f64 2 a))
(.f64 b (+.f64 1/2 (.f64 a -1/4)))
(log.f64 2)
(log.f64 (+.f64 2 b))
(+.f64 (*.f64 1/2 a) (log.f64 2))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(/.f64 b (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 (+.f64 2 b) (.f64 1/2 (.f64 b b))))
(log1p.f64 (+.f64 (+.f64 b (.f64 b (.f64 b 1/2))) 1))
(/.f64 1 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))))
(log.f64 (-.f64 (/.f64 4 (-.f64 2 b)) (-.f64 (/.f64 (.f64 b b) (-.f64 2 b)) (.f64 b (*.f64 b 1/2)))))
(log1p.f64 (exp.f64 a))

Outputs
(/.f64 b (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))

Calls

3 calls:

32.0ms	b
13.0ms	a
4.0ms	(exp.f64 a)

Results

Error	Segments	Branch
2.2b	2	`a`
21.5b	4	`b`
2.2b	2	`(exp.f64 a)`

Compiler

Compiled 107 to 77 computations (28% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.1553968884111099e-12

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes51.0ms (0.3%)

Counts

13 → 2

Calls

Call 1

Inputs
(*.f64 1/2 a)
(/.f64 b 2)
(/.f64 b (+.f64 2 a))
(.f64 b (+.f64 1/2 (.f64 a -1/4)))
(log.f64 2)
(log.f64 (+.f64 2 b))
(+.f64 (*.f64 1/2 a) (log.f64 2))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(/.f64 b (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 (+.f64 2 b) (.f64 1/2 (.f64 b b))))
(log1p.f64 (+.f64 (+.f64 b (.f64 b (.f64 b 1/2))) 1))
(/.f64 1 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))))
(log.f64 (-.f64 (/.f64 4 (-.f64 2 b)) (-.f64 (/.f64 (.f64 b b) (-.f64 2 b)) (.f64 b (*.f64 b 1/2)))))

Outputs
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (*.f64 1/2 a) (log.f64 2))

Calls

3 calls:

31.0ms	b
13.0ms	a
4.0ms	(exp.f64 a)

Results

Error	Segments	Branch
3.0b	2	`a`
21.9b	4	`b`
3.0b	2	`(exp.f64 a)`

Compiler

Compiled 104 to 76 computations (26.9% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6.165400498193638e-12	0.25443792204624643

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes17.0ms (0.1%)

Counts

8 → 2

Calls

Call 1

Inputs
(*.f64 1/2 a)
(/.f64 b 2)
(/.f64 b (+.f64 2 a))
(.f64 b (+.f64 1/2 (.f64 a -1/4)))
(log.f64 2)
(log.f64 (+.f64 2 b))
(+.f64 (*.f64 1/2 a) (log.f64 2))
(+.f64 (*.f64 1/2 b) (log.f64 2))

Outputs
(/.f64 b 2)
(+.f64 (*.f64 1/2 a) (log.f64 2))

Calls

2 calls:

10.0ms	a
5.0ms	b

Results

Error	Segments	Branch
26.4b	2	`a`
30.7b	1	`b`

Compiler

Compiled 44 to 33 computations (25% saved)

bsearch14.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
14.0ms	-25.812068018211612	-1.3686983939780055

Results

12.0ms

112×

body

256

valid

Compiler

Compiled 118 to 101 computations (14.4% saved)

regimes15.0ms (0.1%)

Counts

6 → 2

Calls

Call 1

Inputs
(*.f64 1/2 a)
(/.f64 b 2)
(/.f64 b (+.f64 2 a))
(.f64 b (+.f64 1/2 (.f64 a -1/4)))
(log.f64 2)
(log.f64 (+.f64 2 b))

Outputs
(/.f64 b 2)
(log.f64 (+.f64 2 b))

Calls

2 calls:

9.0ms	a
4.0ms	b

Results

Error	Segments	Branch
26.5b	2	`a`
30.8b	1	`b`

Compiler

Compiled 32 to 23 computations (28.1% saved)

bsearch17.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
16.0ms	-795.4080189673617	-27.486577204650832

Results

12.0ms	101×	body	256	valid
3.0ms	11×	body	512	valid

Compiler

Compiled 104 to 87 computations (16.3% saved)

regimes14.0ms (0.1%)

Counts

5 → 2

Calls

Call 1

Inputs
(*.f64 1/2 a)
(/.f64 b 2)
(/.f64 b (+.f64 2 a))
(.f64 b (+.f64 1/2 (.f64 a -1/4)))
(log.f64 2)

Outputs
(/.f64 b 2)
(log.f64 2)

Calls

2 calls:

8.0ms	a
4.0ms	b

Results

Error	Segments	Branch
26.8b	2	`a`
31.1b	1	`b`

Compiler

Compiled 28 to 20 computations (28.6% saved)

bsearch29.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
28.0ms	-795.4080189673617	-27.486577204650832

Results

19.0ms	74×	body	512	valid
5.0ms	10×	body	1024	valid
4.0ms	28×	body	256	valid

Compiler

Compiled 90 to 80 computations (11.1% saved)

regimes9.0ms (0.1%)

Accuracy

Total -5.7b remaining (-10%)

Threshold costs -5.7b (-10%)

Counts

4 → 1

Calls

Call 1

Inputs
(*.f64 1/2 a)
(/.f64 b 2)
(/.f64 b (+.f64 2 a))
(.f64 b (+.f64 1/2 (.f64 a -1/4)))

Outputs
(/.f64 b 2)

Calls

2 calls:

5.0ms	b
3.0ms	a

Results

Error	Segments	Branch
56.7b	1	`a`
56.7b	1	`b`

Compiler

Compiled 26 to 18 computations (30.8% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

20×	`+-commutative`
2×	`1-exp`
2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	522
1	80	522

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 1 (exp.f64 a))) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 1 (exp.f64 a))) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b 2)))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 1 (exp.f64 a))) (log.f64 (+.f64 (exp.f64 a) (+.f64 1 b))))
(if (<=.f64 a -370) (/.f64 b (+.f64 1 (exp.f64 a))) (if (<=.f64 a -348449143727041/348449143727040986586495598010130648530944) (log1p.f64 (exp.f64 a)) (log.f64 (+.f64 2 (expm1.f64 b)))))
(if (<=.f64 a -410) (/.f64 b (+.f64 1 (exp.f64 a))) (if (<=.f64 a -348449143727041/348449143727040986586495598010130648530944) (log1p.f64 (exp.f64 a)) (log.f64 (+.f64 1 (exp.f64 b)))))
(if (<=.f64 a -390) (/.f64 b (+.f64 1 (exp.f64 a))) (if (<=.f64 a -348449143727041/348449143727040986586495598010130648530944) (log1p.f64 (exp.f64 a)) (log1p.f64 (exp.f64 b))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(if (<=.f64 (exp.f64 a) 6189700196426901/618970019642690137449562112) (/.f64 b (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/2 a) (log.f64 2)))
(if (<=.f64 a -3152519739159347/2251799813685248) (/.f64 b 2) (+.f64 (*.f64 1/2 a) (log.f64 2)))
(if (<=.f64 a -110) (/.f64 b 2) (log.f64 (+.f64 2 b)))
(if (<=.f64 a -185) (/.f64 b 2) (log.f64 2))
(/.f64 b 2)
(*.f64 1/2 a)

Outputs
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 1 (exp.f64 a))) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 (exp.f64 a) 1)) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 1 (exp.f64 a))) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b 2)))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 (exp.f64 a) 1)) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b 2)))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 1 (exp.f64 a))) (log.f64 (+.f64 (exp.f64 a) (+.f64 1 b))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 (exp.f64 a) 1)) (log.f64 (+.f64 (exp.f64 a) (+.f64 b 1))))
(if (<=.f64 a -370) (/.f64 b (+.f64 1 (exp.f64 a))) (if (<=.f64 a -348449143727041/348449143727040986586495598010130648530944) (log1p.f64 (exp.f64 a)) (log.f64 (+.f64 2 (expm1.f64 b)))))
(if (<=.f64 a -370) (/.f64 b (+.f64 (exp.f64 a) 1)) (if (<=.f64 a -348449143727041/348449143727040986586495598010130648530944) (log1p.f64 (exp.f64 a)) (log.f64 (+.f64 (expm1.f64 b) 2))))
(if (<=.f64 a -410) (/.f64 b (+.f64 1 (exp.f64 a))) (if (<=.f64 a -348449143727041/348449143727040986586495598010130648530944) (log1p.f64 (exp.f64 a)) (log.f64 (+.f64 1 (exp.f64 b)))))
(if (<=.f64 a -410) (/.f64 b (+.f64 (exp.f64 a) 1)) (if (<=.f64 a -348449143727041/348449143727040986586495598010130648530944) (log1p.f64 (exp.f64 a)) (log.f64 (+.f64 1 (exp.f64 b)))))
(if (<=.f64 a -390) (/.f64 b (+.f64 1 (exp.f64 a))) (if (<=.f64 a -348449143727041/348449143727040986586495598010130648530944) (log1p.f64 (exp.f64 a)) (log1p.f64 (exp.f64 b))))
(if (<=.f64 a -390) (/.f64 b (+.f64 (exp.f64 a) 1)) (if (<=.f64 a -348449143727041/348449143727040986586495598010130648530944) (log1p.f64 (exp.f64 a)) (log1p.f64 (exp.f64 b))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))
(if (<=.f64 (exp.f64 a) 6189700196426901/618970019642690137449562112) (/.f64 b (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/2 a) (log.f64 2)))
(if (<=.f64 (exp.f64 a) 6189700196426901/618970019642690137449562112) (/.f64 b (+.f64 (exp.f64 a) 1)) (+.f64 (*.f64 a 1/2) (log.f64 2)))
(if (<=.f64 a -3152519739159347/2251799813685248) (/.f64 b 2) (+.f64 (*.f64 1/2 a) (log.f64 2)))
(if (<=.f64 a -3152519739159347/2251799813685248) (/.f64 b 2) (+.f64 (*.f64 a 1/2) (log.f64 2)))
(if (<=.f64 a -110) (/.f64 b 2) (log.f64 (+.f64 2 b)))
(if (<=.f64 a -110) (/.f64 b 2) (log.f64 (+.f64 b 2)))
(if (<=.f64 a -185) (/.f64 b 2) (log.f64 2))
(/.f64 b 2)
(*.f64 1/2 a)
(*.f64 a 1/2)

Compiler

Compiled 221 to 156 computations (29.4% saved)

soundness173.0ms (1%)

Algorithm

2×	egg-herbie

Rules

1374×	`times-frac`
1146×	`associate-/l*`
1090×	`fma-def`
1004×	`unswap-sqr`
902×	`distribute-lft-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	200	2618
1	499	2362
2	1982	2350
3	7711	2350
0	141	1286
1	322	1180
2	1168	1000
3	3683	976

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 63 to 46 computations (27% saved)

end107.0ms (0.6%)

Compiler: Compiled 243 to 149 computations (38.7% saved)